Mentor-Mentee Game — March 25, 2023 — McBruce's Deal Analyses

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Thanks for loading this up! It's a big file and may take a few seconds... These deals were played on Saturday March 25 at the Mentor-Mentee Game. Before they were played, I had JACK, the excellent bridge computer program, play the 22 deals with four computer players at each table, 51 times each! The computers were set to play a 2/1 system with many of the most common extras that people play. Another computer program analyzed the deals and the results at the 51 tables, and counted up several bridge stats:

We've used the BridgeBase Hand Viewer program to select the bidding and cardplay from one of the 51 plays in the computer tournament, usually the most common, and we've added some comments, especially when a 2/1 bid differs from standard, or when something interesting in the bidding or play happens. Be sure to use the Next button in the diagram to go through and comments will appear in the space at the bottom as you click through each deal. Another good plan is to open the Unit 430 results page at ACBL Live for Clubs, and go to the game results for this game, to compare the human players with the computer players. Most browsers these days will let you have both tabs open at the same time, so you can compare by switching back and forth. I'm guessing that the computers will not do quite the same thing as the mentor-mentee pairs will quite often!

Deal Diagrams and iOS: The deal diagrams on this site come from BridgeBase's Hand Viewer software, and Safari, the Apple browser included in iPhone and iPad software, must be tweaked in order to display it. The route to do so (on each of your iOS devices) is: Settings, Safari, Preferences, Privacy and then uncheck "Prevent cross-site tracking." An alternative is to download a different browser (Chrome for iOS works fine).

How can we learn from what computers do? The way computers approach bridge is quite different from human judgment. The machine relies on basic bidding rules in the early stages of the auction, but later on uses the clues from the other players' bids and plays to choose, from thousands and thousands of random distributions of the unseen cards, whether that distribution fits the bids and plays so far, and if it does, what action is best. When playing against JACK you can actually use the program to help you bid in this way: JACK deals out the unseen hands randomly and discards the distributions where the auction so far doesn't fit, then tallies the best contract for the first 1,000 that do fit. On a close decision between passing or bidding on, sometimes the best bid changes several times during this process as the results come in, like a close race on election night!. (We gave it as little time as we could to perform this work before key decisions so that we would get a good variation on possible solutions!) I'll use the stats the program generated to try to find differences between what JACK did and what I might do at the table, and highlight these in the comments. Feel free to jump around to your favourite deals, or read them in the order you played them, using the links above and below each deal.

Bridge has proven to be a much tougher nut to crack for artificial intelligence because of the partnership aspect and the fact that there are four players all with different subsets of limited information. But in other classic games, computer analysis has come a long way in the 40 years since I began playing bridge. Free backgammon programs are available that can compute a match-winning probability onto any position, and give you a list of moves at the end of the game where you made moves that were not optimal, and even tell you if your choice was close to the best or a total blunder! We're not quite there in bridge yet, but just as the computer backgammon programs of the 1980s and 1990s were coming up with strange moves that seemed wrong but turned out to be right, bridge programs sometimes do strange things that, on careful reflection, turn out to be good choices. However, they often make good choices and suffer from an unusual layout, just as we do! We are sensing that the computers are less interested than human players in light openings and wild pre-empts, but more aggressive in getting in after the opponents open. Working out just how the computer came to its strange decision can be quite educational!

Today's deals put the spotlight on East-West's bidding and declaring skills, and conversely on North-South's defending skills for a majority of the deals. Randomness is sometimes like that. A player once complained to me that the computer-dealt hands had been "too random"; I pointed out to him that as a retired professor of mathematics he must know that random is an absolute: something either is or is not random, and a bit of variance in one set of deals proves very little. If you found the deals a struggle, perhaps one or two of the writeups will convince you that you were not alone!

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A lot of the computers had some trouble with this one, getting into an impossible slam. I expect our pairs to do much better and stay out of danger, and most tables will simply score up eleven tricks and move on, even if the contract reached required twelve. A favorite story of mine involves the Italian world champion team in the European Championships in the 1960s, playing against France. One of their pairs in the two-table team match got into similar trouble and ended up in 7NT doubled, and the French players cashed two aces for a big swing. But on the next five deals the Italians got back the lost points and considerably more. Later, when asked about the incident, the French said that when the great players had a misunderstanding and went two down in a doubled grand slam, yet calmly wrote the score down, and went on to the next hand without comment or gestures of frustration, this was a superhuman level of composure and confidence the French players had never seen before, and they made dozens of silly mistakes on the next half-dozen deals!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 7 11 2 2
in spades: 11 11 2 2
in hearts: 3 3 10 10
in diamonds: 4 4 6 6
in clubs: 8 8 4 4
 
Highcard points: 15 12 4 9




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
6n down 1 50 39 38% 62%
4n making 5 450 12 89% 11%




Opening Leads:
34x: 4e
10x: 6e
5x: Qe
1x: 9e
1x: 7e

Sixpacks:
51x: 1n - 2NTs - 3n - 3s - 4n - 4s

Defensive Winners:
13x: 6n: A(tr 1), Q(tr 2)
5x: 6n: A(tr 1), 9(tr 2)
3x: 6n: A(tr 1), Q(tr 8)
3x: 4n: A(tr 1), Q(tr 2)
3x: 6n: J(tr 1), Q(tr 2)
3x: 6n: J(tr 8), Q(tr 9)
2x: 4n: A(tr 8), Q(tr 9)
2x: 6n: J(tr 1), A(tr 2)
2x: 6n: A(tr 4), Q(tr 5)
2x: 6n: A(tr 8), Q(tr 9)
2x: 6n: A(tr 1), Q(tr 9)
2x: 4n: J(tr 1), Q(tr 2)
2x: 4n: A(tr 1), K(tr 9)
1x: 6n: J(tr 1), Q(tr 9)
1x: 6n: A(tr 1), K(tr 9)
1x: 6n: J(tr 1), K(tr 9)
1x: 4n: Q(tr 7), A(tr 8)
1x: 4n: A(tr 1), Q(tr 9)
1x: 6n: J(tr 1), Q(tr 13)
1x: 4n: J(tr 9), K(tr 10)

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Another ten-card fit that is close to a slam. If you prefer to have actual openers when you open in third seat the bidding probably goes 1 - 4, but there is a lot to gain by opening light in third seat. Sometimes you catch a big hand on your left and make it more difficult for the opponents. Other times you uncover a fit that allows your side to compete even though the opponents have more highcard points. Most pairs bid less accurately when there is competition, and once partner has passed, it usually pays to be a bit more aggressive.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 3 3 8 9
in spades: 2 2 10 10
in hearts: 2 2 11 11
in diamonds: 7 7 6 6
in clubs: 7 7 6 6
 
Highcard points: 5 10 10 15




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4w making 5 450 42 49% 51%
5w making 5 450 8 49% 51%
6w down 1 50 1 100% 0%




Opening Leads:
34x: 4n
10x: 6n
4x: An
1x: 9n
1x: Jn
1x: 8n

Sixpacks:
38x: 1w - 2e - 2w - 3e - 4w - 4e
12x: 1w - 2e - 2s - Xw - 3e - 4w
1x: 1w - 2e - 2s - 4w

Defensive Winners:
19x: 4w: A(tr 1), A(tr 5)
10x: 4w: A(tr 1), A(tr 6)
9x: 4w: A(tr 1), A(tr 2)
6x: 5w: A(tr 1), A(tr 5)
3x: 4w: A(tr 4), A(tr 8)
2x: 5w: A(tr 1), A(tr 2)
1x: 4w: A(tr 5), A(tr 7)
1x: 6w: A(tr 1), A(tr 5)

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Wild first three boards, Blackwood on all three and slam a possibility on each! Surely the rest of the set will be dull by comparison!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 1 1 12 12
in spades: 4 4 8 8
in hearts: 2 2 11 11
in diamonds: 0 0 12 12
in clubs: 3 3 9 9
 
Highcard points: 6 3 15 16




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
6w making 6 1370 50 49% 51%
3NTw making 6 690 1 100% 0%




Opening Leads:
37x: An
5x: Jn
5x: Jn
4x: 8n

Sixpacks:
50x: 1w - 1e - 2w - 2e - 2NTw - 3e
1x: 1w - 1e - 2w - 2e - 2NTw - 3NTe

Defensive Winners:
37x: 6w: A(tr 1)
11x: 6w: A(tr 11)
2x: 6w: A(tr 6)
1x: 3Nw: A(tr 12)

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Half of the computer pairs in 2 made only eight tricks, either by losing a late trick or playing South for the Q on the first round of trumps. I doubt this is a play most human players would ever consider, but once a computer decides a card is in one defender's hand, it is difficult to change its mind!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 4 4 9 9
in spades: 4 4 9 9
in hearts: 7 7 6 6
in diamonds: 6 6 7 7
in clubs: 3 3 9 9
 
Highcard points: 9 8 7 16




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
2w making 3 140 24 29% 71%
2w making 2 110 24 77% 23%
3s down 2 200 2 1% 99%
2w making 4 170 1 4% 96%




Opening Leads:
24x: Qn
12x: 2n
12x: 4n
2x: Aw
1x: 9n

Sixpacks:
49x: 1NTw - 2e - 2w
2x: 1NTw - 2e - 2w - 3s

Defensive Winners:
11x: 2w: A(tr 4), K(tr 9), J(tr 11), 9(tr 13)
7x: 2w: A(tr 4), K(tr 5), Q(tr 11), K(tr 12)
2x: 2w: A(tr 5), K(tr 9), J(tr 11), Q(tr 12), 9(tr 13)
2x: 2w: A(tr 4), Q(tr 5), K(tr 6), K(tr 12), 4(tr 13)
2x: 2w: A(tr 4), Q(tr 5), K(tr 6), K(tr 12), 8(tr 13)
2x: 2w: Q(tr 1), A(tr 6), J(tr 7), 6(tr 11), Q(tr 13)
1x: 2w: Q(tr 1), J(tr 6), K(tr 8), A(tr 9), Q(tr 13)
1x: 2w: Q(tr 4), A(tr 6), K(tr 10), J(tr 13)
1x: 2w: K(tr 4), A(tr 5), Q(tr 7), Q(tr 8), J(tr 12)
1x: 2w: A(tr 4), Q(tr 5), K(tr 8), J(tr 11)
1x: 2w: A(tr 4), K(tr 8), J(tr 10), 6(tr 12)
1x: 2w: A(tr 5), Q(tr 6), K(tr 7), K(tr 12), 4(tr 13)
1x: 2w: A(tr 5), K(tr 6), Q(tr 9), J(tr 11), 9(tr 13)
1x: 2w: K(tr 4), A(tr 6), Q(tr 7), Q(tr 8), J(tr 12)
1x: 2w: A(tr 5), K(tr 6), J(tr 10), 9(tr 11), 6(tr 13)
1x: 2w: K(tr 4), A(tr 6), Q(tr 7), Q(tr 10), J(tr 13)
1x: 2w: A(tr 4), K(tr 5), 6(tr 11)
1x: 3s: A(tr 1), A(tr 2), A(tr 7), Q(tr 9), J(tr 10), K(tr 12)
1x: 2w: Q(tr 3), K(tr 6), K(tr 7), A(tr 8), J(tr 9)
1x: 2w: A(tr 4), Q(tr 7), K(tr 10), J(tr 13)
1x: 2w: Q(tr 5), K(tr 7), A(tr 8), K(tr 9), 9(tr 13)
1x: 2w: A(tr 4), K(tr 7), K(tr 8), Q(tr 11), J(tr 12)
1x: 2w: Q(tr 1), A(tr 4), J(tr 5), 6(tr 11), Q(tr 12)
1x: 2w: A(tr 4), K(tr 6), Q(tr 10), J(tr 13)
1x: 2w: A(tr 4), Q(tr 5), K(tr 6), Q(tr 12), T(tr 13)
1x: 2w: A(tr 4), K(tr 9), J(tr 11), 6(tr 13)
1x: 2w: Q(tr 1), Q(tr 2), Q(tr 6), J(tr 8), A(tr 9)
1x: 2w: A(tr 5), Q(tr 6), K(tr 7), K(tr 12), 5(tr 13)
1x: 2w: A(tr 4), Q(tr 5), K(tr 6), K(tr 12), 9(tr 13)
1x: 3s: A(tr 1), A(tr 4), Q(tr 5), A(tr 6), 6(tr 7), J(tr 8)
1x: 2w: K(tr 4), A(tr 6), Q(tr 7), Q(tr 8), J(tr 13)

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This is a good lesson hand in defending: play right through to the end, even if it looks like your cards cannot matter! If you play lazily under the impression that your plays are irrelevant, two bad things may happen: 1) It may turn out, as in this deal (click that Next button to find out how!), that your play is highly relevant to the result, even after it is clear that you cannot take another trick, and 2) once you stop thinking strategically and follow suit, there is a nonchalance that good players are aware of, and sometimes that information will allow them to place the missing cards in partner's hand and take advantage. So keep playing as though it might matter, even when your part in the play seems to have ended.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 6 6 7 7
in spades: 7 7 6 6
in hearts: 6 6 7 7
in diamonds: 6 6 6 6
in clubs: 4 4 9 9
 
Highcard points: 11 6 13 10




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
2w down 1 50 28 63% 37%
2w making 2 110 17 18% 82%
4w down 3 150 2 93% 7%
2w making 3 140 1 0% 100%
5*w down 4 800 1 100% 0%
4*w down 3 500 1 98% 2%
4*w down 2 300 1 96% 4%




Opening Leads:
43x: An
8x: 8n

Sixpacks:
46x: 1n - 2e - 2w
2x: 1n - 2e - 4w - Xn
1x: 1n - 2e - 2w - 3e - 3w - 3NTe
1x: 1n - 2e - 2w - 3NTe - 4w
1x: 1n - 2e - 4w

Defensive Winners:
9x: 2w: A(tr 1), A(tr 3), K(tr 4), A(tr 5), 9(tr 8), T(tr 10)
3x: 2w: A(tr 1), A(tr 3), K(tr 4), A(tr 5), 7(tr 7), T(tr 12)
3x: 2w: A(tr 2), K(tr 3), A(tr 4), A(tr 5), 9(tr 8), T(tr 12)
3x: 2w: A(tr 1), K(tr 2), A(tr 3), A(tr 5), T(tr 13)
3x: 2w: A(tr 1), A(tr 3), A(tr 4), K(tr 5), T(tr 13)
3x: 2w: A(tr 1), K(tr 2), 8(tr 4), 6(tr 5), A(tr 7), 9(tr 8)
2x: 2w: A(tr 1), A(tr 3), K(tr 4), A(tr 5), T(tr 13)
2x: 2w: A(tr 1), A(tr 3), K(tr 4), 8(tr 5), T(tr 10)
2x: 2w: A(tr 1), A(tr 3), A(tr 4), K(tr 5), 9(tr 8), T(tr 10)
2x: 2w: A(tr 1), K(tr 2), 8(tr 3), A(tr 5), T(tr 10)
1x: 2w: A(tr 1), K(tr 2), A(tr 5), 6(tr 6), T(tr 11)
1x: 2w: A(tr 1), K(tr 2), 6(tr 4), A(tr 5), A(tr 6), 7(tr 7)
1x: 2w: A(tr 1), K(tr 2), A(tr 3), T(tr 10)
1x: 2w: A(tr 1), K(tr 2), 8(tr 3), A(tr 6), 6(tr 7)
1x: 5*w: A(tr 1), A(tr 3), 7(tr 4), A(tr 5), K(tr 6), T(tr 12)
1x: 2w: A(tr 1), A(tr 3), K(tr 4), A(tr 5), 7(tr 7), 9(tr 11)
1x: 2w: A(tr 2), A(tr 3), K(tr 4), 6(tr 6), A(tr 7), 7(tr 8)
1x: 2w: A(tr 1), K(tr 2), A(tr 3), 6(tr 5), A(tr 6), T(tr 12)
1x: 2w: 7(tr 2), A(tr 3), K(tr 4), A(tr 6), 6(tr 7)
1x: 2w: A(tr 1), A(tr 4), K(tr 5), 8(tr 6), T(tr 10)
1x: 4*w: A(tr 2), K(tr 3), A(tr 4), A(tr 5), 9(tr 8), T(tr 10)
1x: 2w: A(tr 2), K(tr 3), A(tr 4), A(tr 5), 9(tr 8), T(tr 10)
1x: 4w: A(tr 1), A(tr 3), K(tr 4), A(tr 5), 9(tr 8), T(tr 10)
1x: 2w: A(tr 1), K(tr 2), A(tr 4), A(tr 5), 9(tr 8), T(tr 10)
1x: 4w: A(tr 1), K(tr 2), A(tr 3), A(tr 6), 7(tr 7), T(tr 13)
1x: 4*w: A(tr 1), K(tr 2), A(tr 3), A(tr 4), T(tr 12)
1x: 2w: A(tr 1), 8(tr 3), K(tr 4), A(tr 5), A(tr 6)
1x: 2w: A(tr 2), K(tr 3), A(tr 4), A(tr 5), 9(tr 8), T(tr 12)
1x: 2w: A(tr 1), 6(tr 3), A(tr 4), K(tr 5), A(tr 7), 9(tr 8)

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Support Doubles are one of those useful conventions that come up often and help more than they hinder. In this hand, Support Doubles removed the possibility of doubling the outrageous 1 overcall for penalties, but kept E-W low enough to salvage a useful plus score on a hand with no eight-card fits. Far more often, a Support Double will find key eight-card fits and allow you to compete in a contested auction. It's a good convention to add to your collection, and one that is easy to remember since it is limited to only one common situation: opening bid, pass, new suit response in hearts or spades, overcall by opener's RHO, and a double by opener promises three-card support for the responder's suit. As it turns out, we will see in the very next deal that some extend the parameters to include hands where the second player, on opener's left, also makes a call (as long as partner still responds a major and the fourth player makes a call as well)...



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 4 5 8 8
in spades: 5 5 8 8
in hearts: 4 4 9 9
in diamonds: 4 4 8 9
in clubs: 7 7 6 6
 
Highcard points: 10 10 11 9




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
2w making 3 140 14 15% 85%
2w making 2 110 10 46% 54%
2w making 2 90 9 70% 30%
2w making 3 110 5 46% 54%
3NTw down 1 100 5 89% 11%
2w down 1 100 4 89% 11%
2w making 4 130 1 30% 70%
2w making 4 170 1 0% 100%
2w down 1 100 1 89% 11%
3NTw down 2 200 1 100% 0%




Opening Leads:
36x: 4n
13x: An
1x: 8n
1x: 4n

Sixpacks:
27x: 1e - 1w - 1n - Xe - 2w - 2e
19x: 1e - 1w - 1n - Xe - 2w
5x: 1e - 1w - 1n - Xe - 3NTw

Defensive Winners:
2x: 2w: A(tr 2), Q(tr 5), K(tr 6), 8(tr 8), Q(tr 10)
2x: 3Nw: A(tr 2), Q(tr 6), Q(tr 11), K(tr 12), K(tr 13)
2x: 2w: A(tr 2), 9(tr 3), T(tr 8), K(tr 9)
2x: 2w: A(tr 2), T(tr 5), Q(tr 8), K(tr 9), K(tr 10)
2x: 2w: A(tr 1), T(tr 5), K(tr 6), K(tr 13)
1x: 2w: A(tr 1), Q(tr 2), K(tr 5), T(tr 7)
1x: 2w: A(tr 2), T(tr 5), Q(tr 6), K(tr 7)
1x: 2w: A(tr 1), J(tr 3), K(tr 4), T(tr 6), 9(tr 7)
1x: 2w: A(tr 2), T(tr 6), Q(tr 7), K(tr 8), K(tr 10), Q(tr 11)
1x: 2w: A(tr 1), Q(tr 7), K(tr 11)
1x: 2w: A(tr 2), T(tr 4), 9(tr 5), K(tr 8)
1x: 2w: A(tr 2), 2(tr 3), T(tr 9), K(tr 11)
1x: 2w: A(tr 2), T(tr 5), Q(tr 6), Q(tr 9), K(tr 10), K(tr 13)
1x: 2w: A(tr 2), T(tr 5), 9(tr 6), K(tr 9)
1x: 2w: A(tr 1), J(tr 2), T(tr 6), 9(tr 7), K(tr 9)
1x: 2w: A(tr 2), T(tr 5), Q(tr 6), 9(tr 8), K(tr 12), Q(tr 13)
1x: 2w: A(tr 2), Q(tr 3), Q(tr 9), T(tr 10)
1x: 2w: A(tr 2), T(tr 7), 9(tr 9), K(tr 10), Q(tr 11)
1x: 2w: A(tr 2), Q(tr 3), T(tr 7), K(tr 8), K(tr 13)
1x: 2w: A(tr 2), Q(tr 3), T(tr 5), Q(tr 11)
1x: 2w: A(tr 2), 8(tr 3), Q(tr 8), K(tr 10)
1x: 2w: A(tr 2), T(tr 4), K(tr 6)
1x: 2w: A(tr 1), T(tr 3), K(tr 4), Q(tr 7)
1x: 3Nw: A(tr 2), Q(tr 4), K(tr 11), Q(tr 12), K(tr 13)
1x: 2w: A(tr 2), 8(tr 3), Q(tr 8), K(tr 10), Q(tr 12)
1x: 2w: A(tr 2), T(tr 4), T(tr 7), Q(tr 10), K(tr 13)
1x: 2w: A(tr 1), T(tr 3), K(tr 7), J(tr 8)
1x: 3Nw: A(tr 2), T(tr 4), Q(tr 5), Q(tr 7), Q(tr 11)
1x: 2w: A(tr 2), T(tr 5), Q(tr 6), K(tr 7), Q(tr 10), T(tr 13)
1x: 2w: A(tr 3), T(tr 6), Q(tr 10), Q(tr 11), K(tr 13)
1x: 2w: A(tr 2), Q(tr 6), K(tr 8), 8(tr 10)
1x: 2w: A(tr 3), 9(tr 6), T(tr 7), Q(tr 8)
1x: 2w: A(tr 1), T(tr 3), J(tr 4), 9(tr 6), K(tr 9)
1x: 2w: A(tr 1), T(tr 5), 9(tr 6), K(tr 8)
1x: 2w: A(tr 2), Q(tr 6), K(tr 7), T(tr 9), Q(tr 11)
1x: 2w: A(tr 1), T(tr 4), J(tr 6), T(tr 7), K(tr 12), K(tr 13)
1x: 2w: A(tr 2), 9(tr 3), K(tr 5), Q(tr 7), T(tr 12)
1x: 2w: A(tr 1), J(tr 3), T(tr 5), 9(tr 6), K(tr 8)
1x: 2w: A(tr 1), J(tr 4), T(tr 5), K(tr 8)
1x: 2w: Q(tr 2), A(tr 3), K(tr 4), T(tr 7), K(tr 12)
1x: 2w: A(tr 2), 9(tr 3), 4(tr 10), K(tr 11), T(tr 12)
1x: 2w: A(tr 2), K(tr 10), 4(tr 11), 9(tr 12), 6(tr 13)
1x: 3Nw: A(tr 2), T(tr 4), Q(tr 10), Q(tr 11), K(tr 12), Q(tr 13)
1x: 3Nw: A(tr 2), T(tr 6), Q(tr 7), K(tr 9), J(tr 10)
1x: 2w: Q(tr 1), Q(tr 3), J(tr 5), A(tr 6), 8(tr 7)
1x: 2w: A(tr 2), Q(tr 3), T(tr 5), 9(tr 6)

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The issue on this deal was whether North's diamonds are good enough to rebid in a competitive auction. One criticism of North American bidding is the rush to rebid five-card suits, which undoubtedly is behind the rigid rule the computers have which forces this strange Support Double. But flexibility is something that the computers have little of, and if AQT93 is only a five-card suit, it is certainly one of the better ones, and not far from a six-card suit. Better to show that than find an unlikely 5-3 fit in hearts, I think.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 2 2 4 4
in spades: 2 2 9 9
in hearts: 7 7 4 4
in diamonds: 10 10 3 3
in clubs: 2 2 10 10
 
Highcard points: 12 8 12 8




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4w down 1 100 17 24% 76%
2n making 4 130 13 73% 27%
4n making 4 130 6 73% 27%
3n making 4 130 5 73% 27%
3n making 3 110 2 45% 55%
2n making 3 110 2 45% 55%
4n down 1 100 1 6% 94%
2n making 5 150 1 98% 2%
4*n making 4 710 1 100% 0%
4w making 5 150 1 2% 98%
4w making 4 130 1 4% 96%
3*e making 5 1130 1 0% 100%




Opening Leads:
21x: 2e
11x: 2n
10x: Ae
3x: An
2x: Kn
2x: Jn
1x: 9n
1x: Js

Sixpacks:
27x: 1n - 1e - Xs - 2w - Xn - 4e
24x: 1n - 1e - Xs - 2w - Xn - 2s

Defensive Winners:
5x: 2n: A(tr 1), Q(tr 2), J(tr 3)
5x: 4w: A(tr 1), J(tr 2), Q(tr 8), A(tr 9)
5x: 2n: A(tr 1), A(tr 2), K(tr 3)
5x: 3n: A(tr 1), A(tr 2), K(tr 3)
3x: 4w: A(tr 1), K(tr 2), Q(tr 8), A(tr 9)
3x: 4n: A(tr 1), A(tr 2), K(tr 3)
2x: 3n: A(tr 1), K(tr 2), K(tr 4), Q(tr 11)
2x: 4w: A(tr 1), A(tr 2), K(tr 3), Q(tr 12)
2x: 4w: K(tr 1), A(tr 2), 9(tr 3), Q(tr 11)
1x: 4n: A(tr 1), K(tr 2), K(tr 4), T(tr 10)
1x: 2n: A(tr 1), Q(tr 4), K(tr 5), K(tr 11)
1x: 4n: A(tr 1), Q(tr 2), J(tr 3)
1x: 2n: A(tr 1), Q(tr 2)
1x: 4*n: A(tr 1), A(tr 2), K(tr 3)
1x: 4n: A(tr 1), K(tr 2), K(tr 3)
1x: 4w: A(tr 1), J(tr 2), Q(tr 6), A(tr 7)
1x: 2n: A(tr 1), K(tr 2), K(tr 3)
1x: 4w: A(tr 1), 9(tr 2), K(tr 3), Q(tr 11)
1x: 2n: A(tr 1), A(tr 2), Q(tr 3)
1x: 4w: A(tr 1), J(tr 2)
1x: 4w: A(tr 1), J(tr 2), 4(tr 8), A(tr 9)
1x: 4w: A(tr 1), K(tr 2), A(tr 3), Q(tr 12)
1x: 2n: A(tr 1), K(tr 2), K(tr 4)
1x: 4w: Q(tr 9), Q(tr 10), A(tr 13)
1x: 4n: A(tr 1), K(tr 3), K(tr 4)
1x: 2n: A(tr 1), K(tr 2), K(tr 4), T(tr 10)
1x: 3*e: A(tr 1), A(tr 13)
1x: 4w: A(tr 1), K(tr 2), 4(tr 8), A(tr 9)

Intro12345678910111213141516171819202122Final Words

One computer South decided to take a shot at 3NT and got lucky, with West leading the A and making the 7 an unlikely fourth round stopper. Even switching to diamonds didn't work: East won the A at trick two and cashed the J, but South now had nine winners. A very lucky (and not reccommended) escape visualized at only one of the fifty-one computer tables.

None of the computers tried it, but some Easts might open 1 or even 2 in third seat non-vulnerable. Either way, South overcalls 1NT or 2NT, showing a 1NT-opener type hand with a stopper in the enemy suit, and 2 or 3 is still Stayman, and the heart fit is found. West, however, might come in with a lead-directing club bid before North can bid Stayman, which would complicate matters.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 8 8 5 5
in spades: 8 8 5 5
in hearts: 9 9 4 4
in diamonds: 6 6 6 6
in clubs: 8 8 5 5
 
Highcard points: 9 15 7 9




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
3s making 3 140 50 49% 51%
3NTs making 3 400 1 100% 0%




Opening Leads:
49x: Aw
2x: 7w

Sixpacks:
50x: 1NTs - 2n - 2s - 3n
1x: 1NTs - 2n - 2s - 3n - 3NTs

Defensive Winners:
41x: 3s: A(tr 1), K(tr 2), Q(tr 3), A(tr 9)
5x: 3s: A(tr 1), K(tr 2), Q(tr 3), A(tr 11)
2x: 3s: A(tr 1), Q(tr 6), K(tr 7), A(tr 11)
1x: 3Ns: A(tr 1), A(tr 2), J(tr 3), K(tr 13)
1x: 3s: Q(tr 5), A(tr 6), K(tr 7), A(tr 9)
1x: 3s: Q(tr 5), A(tr 8), K(tr 9), A(tr 10)

Intro12345678910111213141516171819202122Final Words

At 51 tables, 49 of which played in spades, there were 49 different sets of defensive winners! Almost every table had a unique order of play, and this in turn led to 13 different possible results in spades alone (we'll leave out the two crazies who tried 3NT and made 11 or 4 tricks!!), from 4 making 5 to 2 down one. What a deal!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 4 3 8 8
in spades: 4 3 9 9
in hearts: 6 5 7 6
in diamonds: 8 8 5 5
in clubs: 3 3 10 10
 
Highcard points: 6 10 11 13




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
3w making 3 140 11 42% 58%
4w down 1 100 7 81% 19%
2w making 3 140 6 42% 58%
2w making 2 110 5 64% 36%
3w making 4 170 4 20% 80%
3w down 1 100 3 81% 19%
4w down 2 200 3 96% 4%
3w making 5 200 2 12% 88%
2w down 1 100 2 81% 19%
4w making 5 650 2 1% 99%
4w making 4 620 2 5% 95%
2w making 4 170 1 20% 80%
2w making 5 200 1 12% 88%
3NTw down 5 500 1 100% 0%
3NTw making 3 600 1 8% 92%




Opening Leads:
21x: Qn
13x: 2n
13x: 7n
2x: Qn
1x: 9n
1x: Tn

Sixpacks:
15x: 1w - 2e - 2w
11x: 1w - 2e - 2s - 3w
6x: 1w - 2e - 2s - 3w
5x: 1w - 2e - 2s - 3w - 4e
2x: 1w - 2e - 2s - 4w
2x: 1w - 2e - 2s - 4w
2x: 1w - 2e - 2w - Xs - 4w
1x: 1w - 2e - 3s - 3w
1x: 1w - 2e - 2s - 3NTw - 4e
1x: 1w - 2e - 2w - Xs - 3n - 3e
1x: 1w - 2e - 2w - Xs - 3n - 3NTw
1x: 1w - 2e - 2w - 4e
1x: 1w - 2e - 2w - Xs - 3w
1x: 1w - 2e - 2w - Xs - 3n - 3w
1x: 1w - 2e - 2w - Xs - 3NTw

Defensive Winners:
2x: 2w: A(tr 1), Q(tr 7), A(tr 8), Q(tr 9)
2x: 2w: Q(tr 3), J(tr 4), A(tr 5), A(tr 6), 4(tr 7)
1x: 3w: A(tr 1), Q(tr 4), J(tr 12)
1x: 3w: T(tr 2), A(tr 3), A(tr 5), Q(tr 10), 6(tr 12)
1x: 4w: Q(tr 3), J(tr 4), A(tr 5), A(tr 6), 4(tr 7)
1x: 2w: A(tr 5), J(tr 6), A(tr 8), Q(tr 9)
1x: 3w: A(tr 1), A(tr 2)
1x: 2w: Q(tr 5), J(tr 7), A(tr 12), J(tr 13)
1x: 2w: A(tr 7), Q(tr 8), Q(tr 9), A(tr 10), J(tr 11), J(tr 12)
1x: 4w: A(tr 1), Q(tr 4)
1x: 4w: A(tr 1), Q(tr 5), A(tr 6), J(tr 12)
1x: 3w: A(tr 1), Q(tr 5), A(tr 10), Q(tr 11)
1x: 3w: Q(tr 5), A(tr 6), J(tr 8), A(tr 13)
1x: 2w: Q(tr 3), J(tr 7), A(tr 8)
1x: 4w: A(tr 1), 4(tr 7), A(tr 9), J(tr 10)
1x: 2w: A(tr 4), 9(tr 6), A(tr 7), J(tr 10), Q(tr 11)
1x: 3w: Q(tr 3), J(tr 4), A(tr 5), A(tr 6), 4(tr 7)
1x: 2w: A(tr 1), Q(tr 7)
1x: 3w: A(tr 1), Q(tr 2), A(tr 8), Q(tr 9)
1x: 4w: J(tr 5), Q(tr 6), Q(tr 9), J(tr 11), 7(tr 12)
1x: 3Nw: J(tr 5), Q(tr 6), A(tr 7), J(tr 8), T(tr 9), A(tr 10), 8(tr 11), 7(tr 12), 6(tr 13)
1x: 3w: A(tr 1), J(tr 9), A(tr 13)
1x: 4w: J(tr 4), A(tr 5), Q(tr 9)
1x: 3w: A(tr 1), Q(tr 4)
1x: 2w: Q(tr 3), J(tr 4), A(tr 5), 4(tr 6), A(tr 10), J(tr 11)
1x: 3w: Q(tr 5), J(tr 7), A(tr 8), A(tr 9)
1x: 4w: A(tr 5), J(tr 10), A(tr 11), Q(tr 12)
1x: 3w: Q(tr 4), Q(tr 11), A(tr 13)
1x: 2w: J(tr 4), A(tr 5), Q(tr 7), Q(tr 10)
1x: 3w: Q(tr 4), J(tr 5), A(tr 6), A(tr 12)
1x: 4w: J(tr 7), A(tr 8), Q(tr 10), A(tr 11)
1x: 4w: J(tr 5), A(tr 6), Q(tr 9), A(tr 10)
1x: 2w: A(tr 6), J(tr 7), A(tr 9), 6(tr 10), Q(tr 11)
1x: 4w: Q(tr 5), J(tr 7), A(tr 8), J(tr 9), A(tr 10)
1x: 3w: Q(tr 6), A(tr 7), A(tr 9), J(tr 10)
1x: 2w: Q(tr 5), J(tr 7), A(tr 8), J(tr 12)
1x: 3w: J(tr 5), A(tr 6), Q(tr 8), A(tr 13)
1x: 2w: Q(tr 3), J(tr 4), A(tr 5), A(tr 6), 4(tr 7)
1x: 3w: Q(tr 3), A(tr 9), J(tr 10), A(tr 11)
1x: 3w: Q(tr 9), A(tr 10), J(tr 11), J(tr 12)
1x: 4w: Q(tr 3), J(tr 6), A(tr 11), J(tr 12)
1x: 3w: A(tr 1), A(tr 8), J(tr 12)
1x: 3w: J(tr 5), A(tr 6), Q(tr 9), A(tr 11)
1x: 3w: Q(tr 7), A(tr 8), J(tr 9), 5(tr 10), A(tr 11)
1x: 3w: A(tr 1), Q(tr 4), J(tr 8), A(tr 13)
1x: 3Nw: J(tr 7), A(tr 8), A(tr 12), Q(tr 13)
1x: 4w: J(tr 6), Q(tr 9), J(tr 10), A(tr 11)
1x: 4w: Q(tr 3), J(tr 4), A(tr 11)
1x: 4w: A(tr 1), Q(tr 7)

Intro12345678910111213141516171819202122Final Words

Objection, you say: if South does overcall 1, North begins with a heart lead against 4 and now it will always go down. Perhaps so, but the auction will be different: West will still bid 1, but North will get in with a heart bid, and may in fact bid hearts again after 3 with the near opener. This gives E-W a new, very lethal option, instead of playing in a misfit: doubling 3 for penalties, as well as a less lethal but still playable option of passing and trying to beat it. 3 goes for at least 200 even if not doubled.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 4 1 8 8
in spades: 1 1 9 9
in hearts: 5 5 7 7
in diamonds: 4 3 9 9
in clubs: 3 3 8 8
 
Highcard points: 11 7 13 9




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4w down 1 100 19 52% 48%
3NTe down 1 100 18 52% 48%
4w making 4 620 7 8% 92%
4w down 2 200 4 94% 6%
4w making 6 680 1 0% 100%
5e down 3 300 1 100% 0%
5e down 2 200 1 94% 6%




Opening Leads:
25x: Kn
20x: Ks
6x: An

Sixpacks:
31x: 1e - 1w - 3e - 3w - 4e - 4w
18x: 1e - 1w - 3e - 3w - 3NTe
2x: 1e - 1w - 3e - 3w - 4e - 5w

Defensive Winners:
16x: 3Ne: K(tr 1), A(tr 2), J(tr 3), 6(tr 4), 4(tr 5)
13x: 4w: J(tr 6), Q(tr 7), Q(tr 8), 7(tr 9)
4x: 4w: A(tr 1), J(tr 7), Q(tr 8), Q(tr 9), 7(tr 10)
4x: 4w: J(tr 6), Q(tr 8), Q(tr 9)
3x: 4w: J(tr 6), 7(tr 8), Q(tr 10), Q(tr 13)
2x: 4w: J(tr 6), Q(tr 7), 7(tr 8), Q(tr 11)
2x: 3Ne: K(tr 1), A(tr 2), J(tr 3), Q(tr 4), 6(tr 5)
2x: 4w: J(tr 6), Q(tr 8), Q(tr 11)
1x: 4w: Q(tr 9)
1x: 5e: K(tr 1), Q(tr 2), Q(tr 9), A(tr 10), K(tr 11)
1x: 5e: K(tr 1), K(tr 11), A(tr 12), Q(tr 13)
1x: 4w: A(tr 1), Q(tr 6), J(tr 9), Q(tr 12)
1x: 4w: A(tr 1), J(tr 10), Q(tr 13)

Intro12345678910111213141516171819202122Final Words

The worst hand at the table had the key signal at trick one to make: the jack or ten of spades would have gotten a spade continuation from East, eventually setting up the suit for the defenders. Four spade tricks and a heart or diamond would be a good score for the defenders! Sometimes we need to make a signal at trick one that is encouraging even if we cannot win a trick in the suit. At tables where East finds the 2 call, South probably has just enough for a natural 2NT, although that might get North-South too high. So maybe overcalling is the right move here after all!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 8 8 4 4
in spades: 6 6 6 6
in hearts: 6 6 7 6
in diamonds: 9 9 3 3
in clubs: 9 9 4 4
 
Highcard points: 16 7 13 4




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
1NTn making 3 150 46 55% 45%
1NTn making 2 120 5 4% 96%




Opening Leads:
50x: Ae
1x: 5e

Sixpacks:
51x: 1NTn

Defensive Winners:
20x: 1Nn: A(tr 1), K(tr 6), Q(tr 7), K(tr 8)
10x: 1Nn: A(tr 1), K(tr 2), K(tr 8), Q(tr 9)
5x: 1Nn: A(tr 1), K(tr 7), Q(tr 8), K(tr 9)
3x: 1Nn: A(tr 1), K(tr 5), Q(tr 6), K(tr 7)
2x: 1Nn: A(tr 1), K(tr 5), K(tr 6), Q(tr 7)
2x: 1Nn: A(tr 1), K(tr 6), Q(tr 7), K(tr 13)
1x: 1Nn: A(tr 1), K(tr 7), K(tr 8), 4(tr 9), K(tr 12)
1x: 1Nn: A(tr 1), K(tr 7), K(tr 8), J(tr 9), Q(tr 10)
1x: 1Nn: A(tr 1), K(tr 2), Q(tr 9), 6(tr 10), K(tr 12)
1x: 1Nn: A(tr 1), K(tr 7), K(tr 8), Q(tr 9)
1x: 1Nn: A(tr 1), K(tr 2), Q(tr 9), 6(tr 10), 5(tr 11)
1x: 1Nn: A(tr 1), K(tr 7), K(tr 8), 6(tr 9), 4(tr 10)
1x: 1Nn: A(tr 1), K(tr 2), K(tr 7), Q(tr 8)
1x: 1Nn: K(tr 6), J(tr 11), K(tr 12), A(tr 13)
1x: 1Nn: A(tr 1), K(tr 6), K(tr 7), 4(tr 8)

Intro12345678910111213141516171819202122Final Words

At tables where East played in hearts, a diamond lead somehow did not lead to making seven, although it should have: A, heart to the king, diamond ruff back to the East hand, and two more high hearts to pull trumps, then the K is eventually pitched on the fifth spade! Careful, though: If you play the ace-king of spades and follow with low spades from the East hand, the suit is blocked and you can never get your fifth spade! You have to see this possibility and play the nine or the eight of spades on one of the first two tricks.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 0 0 8 8
in spades: 0 0 12 12
in hearts: 0 0 12 12
in diamonds: 5 5 7 7
in clubs: 7 7 5 5
 
Highcard points: 5 12 13 10




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4w making 6 480 35 57% 43%
4w making 7 510 6 8% 92%
4e making 6 480 5 57% 43%
4e making 7 510 3 8% 92%
4w making 5 450 2 99% 1%




Opening Leads:
36x: Qn
6x: Ks
5x: 5n
2x: Js
1x: 5n
1x: Jn

Sixpacks:
43x: 1e - 1w - 3e - 4w
8x: 1e - 1w - 4e

Defensive Winners:
34x: 4w: A(tr 1)
6x: 4w:
5x: 4e: A(tr 11)
3x: 4e:
1x: 4w: T(tr 6)
1x: 4w: A(tr 1), T(tr 8)
1x: 4w: A(tr 1), T(tr 6)

Intro12345678910111213141516171819202122Final Words

A 22-point game for East-West probably won't be bid by the Mentor-Mentee game pairs, but the computers all went for it! One inference available to help West upgrade the 15-count is that everyone passed first. This almost certainly means partner will have something, since if partner is transferring on a weak hand, one of the opponents might have found an opening bid. As it turned out, East did have some values, but they were unluckily placed: the Q instead of the Q would have made 4 nearly 100%.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 4 4 9 9
in spades: 4 4 9 9
in hearts: 5 6 7 7
in diamonds: 5 5 8 8
in clubs: 5 6 7 7
 
Highcard points: 7 11 7 15




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4w down 1 100 42 53% 47%
4w making 4 620 5 4% 96%
4w down 2 200 3 98% 2%
3w making 3 140 1 10% 90%




Opening Leads:
23x: 5n
21x: 4n
7x: 5n

Sixpacks:
50x: 1NTw - 2e - 3w - 4e
1x: 1NTw - 2e - 3w

Defensive Winners:
6x: 4w: Q(tr 2), K(tr 3), J(tr 6), K(tr 12)
5x: 4w: Q(tr 5), J(tr 7), K(tr 8), K(tr 12)
5x: 4w: J(tr 3), Q(tr 4), K(tr 10), K(tr 11)
2x: 4w: J(tr 3), Q(tr 4), K(tr 11), K(tr 12)
2x: 4w: K(tr 2), J(tr 7), Q(tr 8), K(tr 13)
2x: 4w: J(tr 5), Q(tr 6), K(tr 9), K(tr 13)
2x: 4w: Q(tr 5), J(tr 7), J(tr 9), K(tr 10)
1x: 4w: J(tr 7), K(tr 8), K(tr 9), J(tr 11), Q(tr 12)
1x: 4w: K(tr 3), J(tr 6), Q(tr 7), K(tr 11)
1x: 4w: Q(tr 4), J(tr 5), K(tr 6)
1x: 4w: J(tr 3), Q(tr 4), K(tr 9), K(tr 10)
1x: 4w: J(tr 4), Q(tr 5), K(tr 13)
1x: 4w: K(tr 5), J(tr 7), K(tr 10), K(tr 11)
1x: 4w: Q(tr 2), K(tr 3), J(tr 7), K(tr 13)
1x: 4w: Q(tr 5), J(tr 6), K(tr 7), K(tr 12)
1x: 4w: J(tr 8), K(tr 9), Q(tr 10), 9(tr 11), K(tr 12)
1x: 4w: J(tr 4), Q(tr 6), K(tr 9), K(tr 10)
1x: 4w: J(tr 4), Q(tr 5), K(tr 9), K(tr 10)
1x: 4w: K(tr 2), Q(tr 8), K(tr 11)
1x: 4w: J(tr 10), K(tr 11), K(tr 12)
1x: 4w: K(tr 7), Q(tr 8), J(tr 12), K(tr 13)
1x: 4w: K(tr 3), J(tr 7), K(tr 12)
1x: 3w: J(tr 4), Q(tr 6), K(tr 7), J(tr 12)
1x: 4w: Q(tr 4), J(tr 7), J(tr 9), K(tr 10)
1x: 4w: Q(tr 4), J(tr 8), K(tr 9), K(tr 10)
1x: 4w: K(tr 5), J(tr 8), Q(tr 9), K(tr 13)
1x: 4w: Q(tr 4), Q(tr 5), J(tr 7), K(tr 10), K(tr 11)
1x: 4w: J(tr 7), Q(tr 8), K(tr 9), K(tr 13)
1x: 4w: J(tr 7), K(tr 8), Q(tr 9), K(tr 13)
1x: 4w: Q(tr 2), K(tr 3), J(tr 8), K(tr 13)
1x: 4w: J(tr 3), Q(tr 4), J(tr 10), K(tr 13)
1x: 4w: Q(tr 2), K(tr 6), K(tr 9), J(tr 13)
1x: 4w: J(tr 5), Q(tr 6), K(tr 8), K(tr 13)
1x: 4w: Q(tr 5), K(tr 6), J(tr 8), K(tr 13)

Intro12345678910111213141516171819202122Final Words

More declarers made eleven tricks than ten, so ducking the A smoothly seems to be the play that JACK favours, even though allowing the overtrick costs 48%. 



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 3 3 8 8
in spades: 3 3 10 10
in hearts: 7 7 6 6
in diamonds: 4 3 8 8
in clubs: 7 7 6 6
 
Highcard points: 8 8 11 13




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4w making 5 450 26 25% 75%
4w making 4 420 22 73% 27%
4w down 1 50 3 98% 2%




Opening Leads:
34x: Jn
9x: 5n
6x: 4n
1x: 7n
1x: Kn

Sixpacks:
50x: 1e - 1w - 2e - 4w
1x: 1e - 1w - 2e - 3NTw - 4e

Defensive Winners:
7x: 4w: A(tr 1), K(tr 8)
3x: 4w: A(tr 1), A(tr 11)
3x: 4w: A(tr 1), A(tr 2)
3x: 4w: A(tr 1), K(tr 9), A(tr 10)
2x: 4w: A(tr 1), A(tr 2), Q(tr 11)
2x: 4w: A(tr 2), A(tr 3), K(tr 8)
2x: 4w: A(tr 1), A(tr 7), T(tr 9)
2x: 4w: A(tr 2), A(tr 3)
2x: 4w: A(tr 1), 8(tr 9)
1x: 4w: A(tr 1), Q(tr 6), A(tr 7), K(tr 8)
1x: 4w: A(tr 1), A(tr 7), K(tr 12)
1x: 4w: A(tr 1), A(tr 3), 9(tr 4)
1x: 4w: A(tr 1), K(tr 8), A(tr 9)
1x: 4w: A(tr 1), A(tr 7)
1x: 4w: A(tr 1), A(tr 2)
1x: 4w: A(tr 1), K(tr 7), 7(tr 9)
1x: 4w: A(tr 1), K(tr 9)
1x: 4w: A(tr 1), A(tr 2), K(tr 9)
1x: 4w: A(tr 2), A(tr 6)
1x: 4w: A(tr 1), A(tr 2), T(tr 11)
1x: 4w: A(tr 1), Q(tr 8), A(tr 10)
1x: 4w: A(tr 2), K(tr 9), A(tr 10)
1x: 4w: A(tr 1), A(tr 2), Q(tr 9)
1x: 4w: A(tr 1), 6(tr 9)
1x: 4w: A(tr 2), K(tr 9)
1x: 4w: A(tr 2), A(tr 7)
1x: 4w: A(tr 1), Q(tr 7), A(tr 8), K(tr 11)
1x: 4w: A(tr 1), A(tr 3), K(tr 12)
1x: 4w: A(tr 1), A(tr 3)
1x: 4w: A(tr 5), Q(tr 6), J(tr 13)
1x: 4w: A(tr 1), K(tr 8), Q(tr 10)
1x: 4w: A(tr 1), Q(tr 7), A(tr 8), 9(tr 9)
1x: 4w: A(tr 1), A(tr 6), K(tr 7)
1x: 4w: A(tr 2), A(tr 11)

Intro12345678910111213141516171819202122Final Words

The fourth undertrick is a big one, moving N-S from +500 to +800 and leapfrogging all the pairs at +680 playing in 4. A bit unlucky for E-W seeing that 5-1 diamond break, but West's 5 call on a flat hand asked for trouble...



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 7 7 3 3
in spades: 12 12 1 1
in hearts: 5 5 7 6
in diamonds: 8 8 4 4
in clubs: 11 11 1 1
 
Highcard points: 7 14 12 7




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
5*e down 4 800 30 71% 29%
4n making 6 680 11 29% 71%
3n making 6 230 5 4% 96%
5*e down 2 300 3 12% 88%
5n making 6 680 1 29% 71%
5*e down 3 500 1 16% 84%




Opening Leads:
27x: Ts
10x: Qe
5x: Ae
4x: As
2x: As
2x: 5e
1x: 2s

Sixpacks:
32x: 1s - 1n - 3e - 4s - 5w - Xn
11x: 1s - 1n - 3e - 4s
5x: 1s - 1n - 3e - 3s
2x: 1s - 1n - 3e - 4s - 5w - Xs
1x: 1s - 1n - 3e - 3s - 4n - 5w

Defensive Winners:
14x: 5*e: A(tr 1), 2(tr 2), K(tr 3), 8(tr 4), A(tr 5), A(tr 6)
6x: 5*e: A(tr 1), 2(tr 2), K(tr 3), 8(tr 4), A(tr 5), A(tr 9)
5x: 4n: A(tr 1)
4x: 4n: K(tr 2)
3x: 5*e: A(tr 1), A(tr 2), 2(tr 3), K(tr 4), 8(tr 5), A(tr 6)
2x: 3n: Q(tr 3)
2x: 3n: K(tr 2)
2x: 5*e: A(tr 1), A(tr 2), 2(tr 3), K(tr 4), 8(tr 5), A(tr 6)
2x: 5*e: A(tr 1), 2(tr 2), A(tr 3), K(tr 4), 8(tr 5), A(tr 6)
2x: 5*e: A(tr 1), 2(tr 2), Q(tr 3), K(tr 4), 8(tr 5), A(tr 6)
1x: 5n: K(tr 2)
1x: 4n: A(tr 2)
1x: 5*e: Q(tr 5), A(tr 7), A(tr 8), Q(tr 9), A(tr 12)
1x: 4n: Q(tr 2)
1x: 5*e: A(tr 1), A(tr 2), A(tr 3), Q(tr 4)
1x: 3n: Q(tr 2)
1x: 5*e: A(tr 1), 2(tr 2), A(tr 3), K(tr 11)
1x: 5*e: A(tr 1), 2(tr 2), Q(tr 3), A(tr 4), K(tr 5), 8(tr 6)
1x: 5*e: A(tr 1), 2(tr 2), Q(tr 3), K(tr 11)

Intro12345678910111213141516171819202122Final Words

At the table, you may get more unconscious clues about the opponent's hands here that you would have a harder time picking up online: a quick, confident lead of a side-suit ace against a slam indicates that the leader thinks they may have a second trick, and dropping the Q doubleton is the indicated play. If North leads the A only after some inner angst, all bets are off, but the normal play in a nine-card fit is to play for the drop. If North doesn't lead the A declarer can win, play off two top trumps, and if the Q does not appear, declarer next runs four clubs, pitching the T from hand, hoping that this is allowed before the person with the Q can ruff in and spoil the fun!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 0 0 12 12
in spades: 0 0 12 12
in hearts: 4 4 9 9
in diamonds: 3 3 10 10
in clubs: 0 0 12 12
 
Highcard points: 9 0 18 13




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
6w making 6 1430 30 31% 69%
6w down 1 100 7 94% 6%
4w making 5 650 5 81% 19%
4w making 7 710 3 64% 36%
4w making 6 680 3 71% 29%
5w making 6 680 1 71% 29%
5w making 5 650 1 81% 19%
6w making 7 1460 1 0% 100%




Opening Leads:
40x: An
11x: 8n

Sixpacks:
40x: 1w - 1NTe - 2w - 4e - 4w - 4NTe
10x: 1w - 1NTe - 2w - 4e - 4w - 4e
1x: 1w - 1NTe - 2w - 3n - 4e - 4w

Defensive Winners:
30x: 6w: A(tr 1)
7x: 6w: A(tr 1), Q(tr 5)
3x: 4w:
3x: 4w: Q(tr 5), A(tr 6)
2x: 4w: Q(tr 4), A(tr 5)
2x: 4w: A(tr 8)
1x: 5w: A(tr 1)
1x: 4w: A(tr 1)
1x: 5w: A(tr 1), Q(tr 5)
1x: 6w:

Intro12345678910111213141516171819202122Final Words

Another one of those awkward deals where neither side has an eight-card fit and the points are split almost evenly. Most of the time, getting a plus score on a deal of this type is worth a good matchpoint score, and the defenders usually prevail. A diamond lead from South would probably be the difference between 2 making (23% for North-South in the computer tournament) and down one (62%).



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 6 6 7 7
in spades: 5 5 7 7
in hearts: 7 7 6 6
in diamonds: 7 7 6 6
in clubs: 6 6 7 7
 
Highcard points: 11 8 7 14




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
2e making 2 110 20 23% 77%
2e down 1 50 15 62% 38%
3w down 2 100 11 90% 10%
3w down 1 50 2 62% 38%
2e making 4 170 2 1% 99%
2NTn down 1 50 1 44% 56%




Opening Leads:
22x: 7s
15x: Qs
8x: 8n
4x: 7n
1x: Tn
1x: 9e

Sixpacks:
37x: 2e
10x: 2e - 3w
3x: 2e - 2NTn - 3w
1x: 2e - 2NTn

Defensive Winners:
6x: 2e: A(tr 3), 3(tr 5), Q(tr 6), A(tr 9), J(tr 10)
4x: 2e: A(tr 4), K(tr 5), 2(tr 7), J(tr 10), A(tr 11), J(tr 13)
4x: 2e: A(tr 3), K(tr 4), A(tr 5), 2(tr 7), J(tr 13)
2x: 3w: A(tr 2), K(tr 3), Q(tr 4), K(tr 5), J(tr 10), A(tr 13)
2x: 2e: A(tr 3), A(tr 4), J(tr 7)
2x: 2e: Q(tr 1), A(tr 3), K(tr 4), A(tr 5), J(tr 10), 9(tr 11)
2x: 2e: A(tr 3), 3(tr 5), T(tr 6), 2(tr 8), A(tr 9), J(tr 12)
2x: 2e: A(tr 4), K(tr 5), 2(tr 7), T(tr 10), A(tr 11), J(tr 12)
1x: 3w: A(tr 2), J(tr 3), K(tr 5), J(tr 8), K(tr 12)
1x: 2e: K(tr 1), 2(tr 3), 3(tr 5), A(tr 7), A(tr 8), J(tr 12)
1x: 2e: A(tr 4), K(tr 5), T(tr 6), J(tr 9), A(tr 10)
1x: 3w: A(tr 2), J(tr 3), K(tr 5), J(tr 8), K(tr 11)
1x: 2e: A(tr 3), 3(tr 5), T(tr 6), A(tr 9), J(tr 10)
1x: 3w: A(tr 2), K(tr 3), Q(tr 5), K(tr 6), J(tr 7), A(tr 13)
1x: 3w: A(tr 2), K(tr 3), J(tr 4), 2(tr 5), Q(tr 6), A(tr 11)
1x: 2e: A(tr 3), K(tr 4), 3(tr 6), A(tr 7), J(tr 13)
1x: 3w: A(tr 2), T(tr 3), K(tr 4), A(tr 6), J(tr 7), K(tr 8)
1x: 3w: A(tr 2), A(tr 3), K(tr 4), K(tr 5), J(tr 6), T(tr 11)
1x: 3w: A(tr 3), J(tr 4), A(tr 7), K(tr 8), T(tr 10), K(tr 11)
1x: 2e: A(tr 3), K(tr 4), 3(tr 6), A(tr 7), J(tr 12)
1x: 2e: A(tr 3), 3(tr 5), Q(tr 6), 2(tr 9), A(tr 10), J(tr 13)
1x: 2e: A(tr 3), K(tr 4), 3(tr 6), 2(tr 9), A(tr 10), J(tr 13)
1x: 2e: Q(tr 1), K(tr 3), A(tr 4), A(tr 7), J(tr 10)
1x: 3w: K(tr 6), A(tr 7), Q(tr 8), K(tr 9), J(tr 10), A(tr 13)
1x: 2e: K(tr 1), A(tr 5), T(tr 6), J(tr 9), A(tr 10)
1x: 2e: K(tr 1), A(tr 3), J(tr 4), A(tr 5), J(tr 10)
1x: 2e: A(tr 4), K(tr 5), 3(tr 6), A(tr 9), J(tr 10)
1x: 2e: K(tr 1), A(tr 5), 3(tr 6), 2(tr 9), A(tr 10), J(tr 13)
1x: 3w: A(tr 2), A(tr 3), K(tr 4), J(tr 5), 5(tr 6), K(tr 11)
1x: 2e: A(tr 4), K(tr 5), T(tr 6), 2(tr 7), A(tr 10), J(tr 12)
1x: 3w: A(tr 3), A(tr 4), J(tr 5), 2(tr 6), K(tr 7), Q(tr 11)
1x: 2e: A(tr 3), 3(tr 5), Q(tr 6), A(tr 7), J(tr 13)
1x: 2e: A(tr 3), K(tr 4), 3(tr 6), A(tr 9), J(tr 10)
1x: 2Nn: A(tr 2), J(tr 3), Q(tr 7), A(tr 8), K(tr 12), T(tr 13)
1x: 3w: A(tr 2), A(tr 3), K(tr 4), J(tr 5), 2(tr 6), Q(tr 7)

Intro12345678910111213141516171819202122Final Words

All the tables got to 3NT and started with a club lead, so there were three tables were something went horribly wrong on the discards, presumably, allowing 3NT to make. Wests unconfortable with raising diamonds on four only have another option: a direct 3NT bid. This makes West the declarer and perhaps North will not lead a club. East could develop a ninth trick by leading a small spade toward the queen.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 4 4 8 8
in spades: 5 5 8 8
in hearts: 3 3 10 10
in diamonds: 3 3 10 10
in clubs: 6 6 7 7
 
Highcard points: 6 7 14 13




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
3NTe down 1 50 48 53% 47%
3NTe making 3 400 2 3% 97%
3NTe making 4 430 1 0% 100%




Opening Leads:
51x: 9s

Sixpacks:
51x: 1e - 2w - 2e - 2w - 2NTe - 3NTw

Defensive Winners:
11x: 3Ne: K(tr 1), Q(tr 9), T(tr 10), Q(tr 11), 2(tr 12)
8x: 3Ne: K(tr 1), 7(tr 9), K(tr 10), Q(tr 11), T(tr 12)
6x: 3Ne: K(tr 1), Q(tr 6), T(tr 7), Q(tr 8), 2(tr 9)
4x: 3Ne: K(tr 1), Q(tr 9), 8(tr 10), Q(tr 11), T(tr 12)
3x: 3Ne: K(tr 1), Q(tr 8), 8(tr 9), Q(tr 10), T(tr 11)
3x: 3Ne: K(tr 1), Q(tr 5), T(tr 6), Q(tr 7), 2(tr 8)
2x: 3Ne: K(tr 1), K(tr 10), Q(tr 11), T(tr 12), 2(tr 13)
2x: 3Ne: K(tr 1), Q(tr 10), T(tr 11), Q(tr 12), K(tr 13)
2x: 3Ne: K(tr 1), Q(tr 6), 8(tr 7), Q(tr 8), T(tr 9)
1x: 3Ne: K(tr 9), Q(tr 10), T(tr 11), 8(tr 12), 2(tr 13)
1x: 3Ne: K(tr 9), Q(tr 12), Q(tr 13)
1x: 3Ne: Q(tr 8), 7(tr 9), K(tr 11), T(tr 12), 8(tr 13)
1x: 3Ne: K(tr 1), Q(tr 6), 8(tr 7), Q(tr 8), K(tr 13)
1x: 3Ne: Q(tr 8), T(tr 9), 8(tr 10), 2(tr 11)
1x: 3Ne: K(tr 1), Q(tr 8), T(tr 9), Q(tr 10), 2(tr 11)
1x: 3Ne: K(tr 1), 7(tr 10), K(tr 11), Q(tr 12), T(tr 13)
1x: 3Ne: K(tr 1), T(tr 4), Q(tr 5), 2(tr 6), Q(tr 13)
1x: 3Ne: K(tr 1), Q(tr 9), K(tr 12), Q(tr 13)
1x: 3Ne: Q(tr 8), 7(tr 9), K(tr 10), T(tr 11), 8(tr 12)

Intro12345678910111213141516171819202122Final Words

A considerable number of the computer pairs negotiated the trump break successfully. Probably it came down to a JACK-style simulation which sometimes revealed the 4-1 break as likely and other times did not. The pairs that actually doubled 4 basically waved their hands and said "I have four spades to the jack-ten, can you handle that?" The answer was yes!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 3 3 10 10
in spades: 3 3 10 10
in hearts: 6 6 7 7
in diamonds: 3 3 9 9
in clubs: 8 8 5 5
 
Highcard points: 8 7 11 14




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4w down 1 100 36 65% 35%
4w making 4 620 11 18% 82%
4*w making 4 790 3 2% 98%
3NTw making 4 630 1 6% 94%




Opening Leads:
49x: An
1x: 9n
1x: 4n

Sixpacks:
29x: 1w - 2n - Xe - 2w - 4e
20x: 1w - 2n - Xe - 2w - 3e - 4w
1x: 1w - 2n - Xe - 3NTw
1x: 1w - 2n - Xe - 2w - 4e - Xs

Defensive Winners:
9x: 4w: A(tr 1), K(tr 2), A(tr 7), J(tr 8)
7x: 4w: A(tr 1), K(tr 6), A(tr 8), J(tr 9)
6x: 4w: A(tr 1), K(tr 2), A(tr 9)
4x: 4w: A(tr 1), K(tr 2), A(tr 8), J(tr 9)
3x: 4w: A(tr 1), K(tr 7), A(tr 9)
2x: 4w: A(tr 1), A(tr 2), T(tr 8), K(tr 13)
2x: 4w: A(tr 1), K(tr 2), A(tr 7), J(tr 12)
2x: 4w: A(tr 1), K(tr 2), A(tr 10)
2x: 4w: A(tr 1), K(tr 2), A(tr 8), J(tr 10)
2x: 4w: A(tr 1), K(tr 2), A(tr 10), J(tr 13)
2x: 4w: A(tr 1), K(tr 2), A(tr 3), T(tr 9)
1x: 3Nw: A(tr 1), A(tr 4), K(tr 13)
1x: 4w: A(tr 1), K(tr 2), J(tr 4), A(tr 5)
1x: 4w: A(tr 1), J(tr 11), A(tr 12), J(tr 13)
1x: 4w: A(tr 1), K(tr 7), A(tr 8), J(tr 9)
1x: 4*w: A(tr 1), A(tr 2), K(tr 13)
1x: 4w: A(tr 1), K(tr 2), A(tr 9), J(tr 11)
1x: 4w: A(tr 6), J(tr 7), K(tr 8), A(tr 9)
1x: 4w: A(tr 1), K(tr 2), A(tr 9), J(tr 10)
1x: 4*w: A(tr 1), K(tr 2), A(tr 9)
1x: 4*w: A(tr 1), K(tr 2), A(tr 8)

Intro12345678910111213141516171819202122Final Words

Half of the field scored -200 in 4, but the real surprise was the number of computer pairs who used Stayman to find a 4-4 spade fit and played 3NT anyhow. This is a common matchpoint strategy when the declaring side have 28-31 combined points: try to make the same number of tricks in notrump for a slightly better score. On this hand, with only 16 opposite 9, it seems a bit silly.



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 8 8 5 5
in spades: 8 8 4 4
in hearts: 6 6 7 7
in diamonds: 8 8 5 5
in clubs: 8 8 5 5
 
Highcard points: 16 9 5 10




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
4n down 2 200 26 27% 73%
3n down 1 100 6 67% 33%
4n making 4 620 6 93% 7%
3NTn down 1 100 5 67% 33%
3NTn making 3 600 3 84% 16%
3NTn down 2 200 2 27% 73%
3NTn making 4 630 1 100% 0%
4n down 1 100 1 67% 33%
3n making 4 170 1 80% 20%




Opening Leads:
42x: Je
6x: 8e
2x: 8e
1x: Te

Sixpacks:
22x: 1NTn - 2s - 2n - 4s
11x: 1NTn - 2s - 2n - 3s - 4n
7x: 1NTn - 2s - 2n - 3s
6x: 1NTn - 2s - 2n - 3NTs
5x: 1NTn - 2s - 2n - 3s - 3NTn

Defensive Winners:
9x: 4n: Q(tr 5), K(tr 6), Q(tr 7), A(tr 8), J(tr 9)
7x: 4n: J(tr 1), Q(tr 6), K(tr 7), A(tr 8), J(tr 9)
3x: 4n: J(tr 1), Q(tr 7), K(tr 8), A(tr 9), J(tr 10)
2x: 4n: Q(tr 6), K(tr 7), T(tr 8), A(tr 11), Q(tr 12)
2x: 3n: Q(tr 5), K(tr 6), Q(tr 7), A(tr 8), J(tr 9)
2x: 4n: A(tr 9), Q(tr 10), T(tr 12)
1x: 4n: J(tr 1), A(tr 4), Q(tr 5), K(tr 6), Q(tr 11)
1x: 3Nn: Q(tr 1), A(tr 2), J(tr 3), Q(tr 12), 2(tr 13)
1x: 3Nn: Q(tr 1), A(tr 2), J(tr 3), Q(tr 11), 2(tr 12)
1x: 3n: J(tr 1), Q(tr 6), K(tr 7), A(tr 8), J(tr 9)
1x: 4n: Q(tr 6), K(tr 7), Q(tr 8), A(tr 9), J(tr 10)
1x: 3n: J(tr 1), A(tr 4), K(tr 5), Q(tr 6), Q(tr 10)
1x: 4n: Q(tr 5), K(tr 6), A(tr 7), T(tr 8), 8(tr 11)
1x: 3Nn: Q(tr 7), K(tr 8), T(tr 9), 8(tr 10), A(tr 11)
1x: 4n: A(tr 9), J(tr 10), Q(tr 11)
1x: 3n: Q(tr 6), K(tr 7), Q(tr 8), A(tr 9), J(tr 10)
1x: 4n: Q(tr 5), A(tr 6), 8(tr 12)
1x: 4n: Q(tr 5), K(tr 6), A(tr 7), Q(tr 8), J(tr 9)
1x: 3Nn: Q(tr 6), K(tr 7), A(tr 8), T(tr 9), 8(tr 10), J(tr 11)
1x: 3Nn: Q(tr 1), A(tr 2), T(tr 13)
1x: 3Nn: K(tr 10), 8(tr 11), T(tr 12), A(tr 13)
1x: 4n: Q(tr 5), K(tr 6), T(tr 7), A(tr 11), Q(tr 12)
1x: 3Nn: K(tr 9), Q(tr 10), A(tr 11), 8(tr 12), 7(tr 13)
1x: 4n: Q(tr 6), K(tr 7), 9(tr 12)
1x: 4n: A(tr 3), 8(tr 6), Q(tr 10), Q(tr 11)
1x: 3Nn: Q(tr 1), A(tr 2), Q(tr 9), K(tr 13)
1x: 4n: A(tr 3), J(tr 4), 8(tr 12)
1x: 3n: A(tr 9), J(tr 10), Q(tr 11)
1x: 3Nn: K(tr 9), A(tr 10), T(tr 11), 8(tr 12), J(tr 13)
1x: 3Nn: T(tr 6), K(tr 11), Q(tr 12), A(tr 13)
1x: 3n: Q(tr 6), K(tr 7), T(tr 8), A(tr 11), Q(tr 12)
1x: 3Nn: Q(tr 7), K(tr 8), Q(tr 9), A(tr 10), T(tr 11), J(tr 12)

Intro12345678910111213141516171819202122Final Words

Sometimes you do normal things and get a bad score. Every one of the computers made the 2 overcall, and a majority of N-S pairs passed it out, although several did not and paid the price. Some deals are jusst mean to whoever ends up declaring and there is no way to find out until it's too late!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 8 8 5 5
in spades: 7 7 5 5
in hearts: 8 8 4 4
in diamonds: 7 7 5 5
in clubs: 7 7 4 4
 
Highcard points: 12 12 4 12




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
2w down 3 150 13 88% 12%
2w down 2 100 12 53% 47%
3s down 2 200 6 14% 86%
3s making 3 140 4 71% 29%
3NTn down 1 100 3 31% 69%
3s down 1 100 3 31% 69%
2w making 2 110 2 23% 77%
2w down 1 50 2 39% 61%
4*s down 3 800 2 3% 97%
2NTs making 2 120 1 66% 34%
4s down 3 300 1 6% 94%
3NTn down 2 200 1 14% 86%
4*s down 4 1100 1 0% 100%




Opening Leads:
28x: An
17x: Aw
1x: Je
1x: 8e
1x: Ke
1x: 4w
1x: 7e
1x: An

Sixpacks:
29x: 1n - 1s - 2w
13x: 1n - 1s - 2w - 3s
4x: 1n - 1s - 2w - 3s - 3NTn
3x: 1n - 1s - 2w - 4s - Xe
1x: 1n - 1s - 2w - 2NTs
1x: 1n - 1s - 2w - 4s

Defensive Winners:
6x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), A(tr 5), 2(tr 6), 6(tr 7), Q(tr 11)
3x: 2w: A(tr 1), A(tr 2), K(tr 3), 8(tr 7), A(tr 8), J(tr 9), Q(tr 12)
3x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), A(tr 5), 9(tr 6), 6(tr 7), Q(tr 11)
2x: 3s: A(tr 1), J(tr 4), K(tr 5), K(tr 6), 9(tr 8), K(tr 11)
2x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 7), A(tr 8), J(tr 9), Q(tr 12)
2x: 3s: A(tr 1), 9(tr 8), K(tr 11), K(tr 13)
2x: 2w: A(tr 1), A(tr 2), K(tr 3), J(tr 9), Q(tr 10), Q(tr 11), A(tr 12)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), Q(tr 7), T(tr 11)
1x: 3Nn: K(tr 3), K(tr 4), 9(tr 7), K(tr 8), A(tr 9)
1x: 2Ns: A(tr 1), Q(tr 5), K(tr 6), K(tr 7), K(tr 13)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 7), Q(tr 9), A(tr 10)
1x: 3Nn: K(tr 2), K(tr 6), J(tr 8), 5(tr 9), 2(tr 10)
1x: 3s: A(tr 1), K(tr 2), 9(tr 3), K(tr 4), K(tr 9), J(tr 11)
1x: 4s: A(tr 1), K(tr 4), K(tr 5), 9(tr 7), K(tr 9), J(tr 10)
1x: 3s: A(tr 1), K(tr 8), K(tr 11), J(tr 13)
1x: 3s: A(tr 1), 9(tr 6), K(tr 8), K(tr 9), J(tr 11), K(tr 13)
1x: 4*s: A(tr 1), K(tr 5), 9(tr 6), K(tr 7), J(tr 9), K(tr 11)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), J(tr 7), Q(tr 8), A(tr 9), J(tr 13)
1x: 3s: A(tr 1), K(tr 2), 9(tr 7), K(tr 8), J(tr 10), K(tr 13)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), A(tr 5), 9(tr 6), Q(tr 11)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), A(tr 5), 9(tr 6), 6(tr 7)
1x: 3Nn: K(tr 5), A(tr 6), K(tr 7), 9(tr 9), J(tr 11), 5(tr 12)
1x: 4*s: K(tr 4), A(tr 5), 9(tr 6), K(tr 7), J(tr 9), K(tr 11)
1x: 3Nn: K(tr 1), K(tr 5), J(tr 6), K(tr 11), A(tr 12)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), A(tr 5), 2(tr 6), J(tr 9), Q(tr 10)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), Q(tr 7), Q(tr 13)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), A(tr 5), 9(tr 6), J(tr 9), Q(tr 10)
1x: 3s: A(tr 1), K(tr 6), K(tr 7), K(tr 9)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), 2(tr 5), 6(tr 6), 9(tr 7), Q(tr 8)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 4(tr 4), A(tr 5), J(tr 6), 6(tr 7)
1x: 3s: A(tr 1), K(tr 6), K(tr 8), K(tr 10), J(tr 13)
1x: 3s: A(tr 1), 9(tr 5), K(tr 6), K(tr 7), J(tr 9), K(tr 11)
1x: 2w: A(tr 1), 2(tr 2), A(tr 3), 9(tr 4), A(tr 5), 4(tr 6), J(tr 7), Q(tr 8)
1x: 3s: A(tr 1), K(tr 2), 9(tr 9), J(tr 12), K(tr 13)
1x: 4*s: A(tr 1), K(tr 6), K(tr 7), 9(tr 8), 4(tr 9), J(tr 11), K(tr 13)
1x: 2w: A(tr 1), A(tr 2), 2(tr 3), A(tr 4), 4(tr 5), 9(tr 6), 6(tr 7)
1x: 2w: A(tr 1), A(tr 2), K(tr 3), 8(tr 7), Q(tr 9), A(tr 10)
1x: 3s: A(tr 1), K(tr 2), 9(tr 3), K(tr 10), J(tr 12)

Intro12345678910111213141516171819202122Final Words

South might have considered a 1NT overcall even on only 14: surely two and possibly even three club stoppers adds value to the hand. West would pass and North would use Stayman to find the heart fit. 1NT can be a useful call; in this hand either side could have used it to help buy the contract and keep the other side from their best spot!



Double-Dummy Tricks:
Suit  by North by South by East by West
in notrump: 6 6 6 6
in spades: 7 6 7 6
in hearts: 8 8 5 5
in diamonds: 7 7 6 6
in clubs: 6 6 6 6
 
Highcard points: 7 14 13 6




Results at the Computer Tables:
Contract Result NS Score EW Score Frequency NS Matchpoints EW Matchpoints
1NTe down 1 100 24 36% 64%
1NTe down 2 200 12 83% 17%
2s making 3 140 4 67% 33%
1NTe making 1 90 3 6% 94%
1NTe down 3 300 3 98% 2%
3s down 1 50 1 10% 90%
1NTe making 2 120 1 1% 99%
2NTe making 2 120 1 1% 99%
2NTe down 1 100 1 36% 64%
2s making 2 110 1 62% 38%




Opening Leads:
18x: 4s
12x: As
10x: 7s
4x: 4w
2x: 6s
2x: Jw
1x: Qs
1x: Qs
1x: As

Sixpacks:
43x: 1e - 1w - 1NTe
5x: 1e - 1w - 1NTe - 2s
2x: 1e - 1w - 1NTe - 2s - 2NTe
1x: 1e - 1w - 1NTe - 2s - 2NTe - 3n

Defensive Winners:
3x: 1Ne: Q(tr 2), Q(tr 3), Q(tr 8), A(tr 9), A(tr 10), 8(tr 11), A(tr 13)
1x: 1Ne: A(tr 1), Q(tr 4), A(tr 6), Q(tr 7), 6(tr 8), A(tr 9), Q(tr 10), T(tr 11)
1x: 3s: K(tr 5), T(tr 9), K(tr 10), A(tr 12), J(tr 13)
1x: 1Ne: A(tr 1), Q(tr 4), A(tr 7), A(tr 11), Q(tr 12), Q(tr 13)
1x: 2s: K(tr 5), K(tr 10), K(tr 11), A(tr 12)
1x: 1Ne: A(tr 4), Q(tr 5), Q(tr 11), A(tr 12), 5(tr 13)
1x: 1Ne: Q(tr 3), A(tr 4), Q(tr 5), 6(tr 6), A(tr 8), Q(tr 9), A(tr 11), T(tr 12)
1x: 1Ne: A(tr 1), Q(tr 8), Q(tr 9), J(tr 10), A(tr 11), Q(tr 12), A(tr 13)
1x: 1Ne: Q(tr 3), A(tr 7), Q(tr 8), A(tr 9), Q(tr 11), A(tr 12), J(tr 13)
1x: 2Ne: A(tr 2), A(tr 3), A(tr 9), Q(tr 10), Q(tr 11)
1x: 1Ne: Q(tr 2), Q(tr 3), Q(tr 5), A(tr 8), Q(tr 9), A(tr 10), A(tr 11), 8(tr 12)
1x: 1Ne: Q(tr 3), A(tr 7), A(tr 8), Q(tr 10), 8(tr 11), Q(tr 12), A(tr 13)
1x: 1Ne: Q(tr 2), Q(tr 3), A(tr 4), 8(tr 5), A(tr 10), 8(tr 11), 7(tr 12), A(tr 13)
1x: 1Ne: Q(tr 2), Q(tr 3), A(tr 4), Q(tr 6), A(tr 10), Q(tr 11), 8(tr 12), A(tr 13)
1x: 1Ne: Q(tr 3), A(tr 7), A(tr 8), Q(tr 10), 8(tr 11), A(tr 12), Q(tr 13)
1x: 2s: 9(tr 2), A(tr 3), K(tr 10), K(tr 11)
1x: 2Ne: Q(tr 4), Q(tr 8), A(tr 10), Q(tr 11), A(tr 12), 5(tr 13)
1x: 1Ne: Q(tr 2), Q(tr 3), A(tr 4), A(tr 9), Q(tr 10), 6(tr 11), A(tr 13)
1x: 1Ne: A(tr 1), T(tr 4), A(tr 7), Q(tr 8), Q(tr 10), 8(tr 11), A(tr 13)
1x: 1Ne: Q(tr 3), A(tr 5), Q(tr 6), A(tr 7), Q(tr 8), A(tr 9), 8(tr 10)
1x: 1Ne: Q(tr 3), A(tr 6), A(tr 9), Q(tr 10), Q(tr 11), A(tr 12), 5(tr 13)
1x: 1Ne: Q(tr 2), Q(tr 3), Q(tr 8), A(tr 9), 8(tr 10), A(tr 11), Q(tr 12), A(tr 13)
1x: 1Ne: Q(tr 2), Q(tr 3), Q(tr 9), A(tr 10), A(tr 11), Q(tr 12), 5(tr 13)
1x: 1Ne: Q(tr 2), A(tr 3), 8(tr 4), Q(tr 5), A(tr 7), T(tr 10), T(tr 11), A(tr 12)
1x: 1Ne: Q(tr 2), Q(tr 3), A(tr 4), A(tr 8), Q(tr 11), Q(tr 12), 5(tr 13)
1x: 1Ne: Q(tr 3), A(tr 4), Q(tr 5), 6(tr 6), Q(tr 7), A(tr 8), A(tr 9), Q(tr 12)
1x: 2s: K(tr 1), K(tr 7), K(tr 8), A(tr 9)
1x: 1Ne: Q(tr 3), A(tr 7), Q(tr 9), A(tr 10), Q(tr 11), 8(tr 12), A(tr 13)
1x: 1Ne: Q(tr 2), A(tr 7), Q(tr 8), Q(tr 10), A(tr 11), A(tr 12), 5(tr 13)
1x: 1Ne: A(tr 1), Q(tr 5), A(tr 6), Q(tr 7), A(tr 11), J(tr 12), 7(tr 13)
1x: 1Ne: Q(tr 3), A(tr 4), A(tr 6), Q(tr 7), 6(tr 8), A(tr 9), Q(tr 10), T(tr 11)
1x: 1Ne: Q(tr 3), A(tr 4), Q(tr 5), 6(tr 6), Q(tr 7), A(tr 8), A(tr 10), Q(tr 13)
1x: 1Ne: Q(tr 4), A(tr 7), A(tr 8), Q(tr 9), A(tr 10), Q(tr 11), 5(tr 12)
1x: 1Ne: Q(tr 2), Q(tr 3), Q(tr 7), A(tr 8), 8(tr 9), A(tr 10), A(tr 11), Q(tr 12), T(tr 13)
1x: 1Ne: A(tr 1), A(tr 8), Q(tr 9), A(tr 11), 8(tr 12), 7(tr 13)
1x: 2s: K(tr 1), 9(tr 7), J(tr 10), K(tr 12), A(tr 13)
1x: 1Ne: Q(tr 3), A(tr 7), Q(tr 8), A(tr 9), A(tr 11), Q(tr 12), J(tr 13)
1x: 1Ne: Q(tr 3), A(tr 4), Q(tr 5), 5(tr 6), A(tr 8), A(tr 9), Q(tr 10), T(tr 11)
1x: 1Ne: A(tr 1), A(tr 3), Q(tr 6), Q(tr 7), A(tr 11), Q(tr 12), 5(tr 13)
1x: 1Ne: A(tr 1), Q(tr 3), A(tr 4), Q(tr 5), A(tr 6), 8(tr 7), Q(tr 8)
1x: 1Ne: Q(tr 4), A(tr 5), Q(tr 6), A(tr 9), 8(tr 10), Q(tr 11), A(tr 12)
1x: 1Ne: Q(tr 3), A(tr 4), Q(tr 5), 6(tr 6), Q(tr 7), A(tr 8), A(tr 9), Q(tr 13)
1x: 1Ne: A(tr 1), Q(tr 8), Q(tr 9), J(tr 10), A(tr 11), 7(tr 12), A(tr 13)
1x: 1Ne: A(tr 1), Q(tr 4), A(tr 7), Q(tr 8), A(tr 12), Q(tr 13)
1x: 1Ne: A(tr 1), Q(tr 4), A(tr 8), Q(tr 9), A(tr 11), Q(tr 12), J(tr 13)
1x: 1Ne: A(tr 1), Q(tr 3), Q(tr 4), 6(tr 5), Q(tr 8), A(tr 9), Q(tr 10), T(tr 11), A(tr 12)
1x: 1Ne: A(tr 1), Q(tr 4), Q(tr 5), 8(tr 6), Q(tr 7), A(tr 8), A(tr 10)
1x: 1Ne: Q(tr 2), Q(tr 3), A(tr 4), 8(tr 5), Q(tr 6), A(tr 7), T(tr 10), A(tr 11), Q(tr 12)
1x: 2s: T(tr 7), 9(tr 10), A(tr 11), K(tr 12)

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Pretty tough little set of deals for this Mentor-Mentee game. And since I began writing these commentaries I have discovered that I will be out of town directing in Kamloops on the weekend of the tournament. I hope you enjoyed the game and these commentaries, even though some of the deals were very pesky!!

Intro12345678910111213141516171819202122Final Words