So in the contest I bid
♠2 with no great certainty. I have slightly different assumptions than Rainer, so my percentages of setting are lower across the board, but mostly the same relative ordering of what is best and what isn't. The MSC 100 point answer was
♦4. My natural guess was that double dummy would actually favor, for instance, a club lead over at the table, because every time your club lead blows a 2 way guess at the table it costs about half a trick, but in double dummy world every 2 way guess the declarer will get right, so it doesn't cost to blow the guess. But I wasn't sure what would be best double dummy in fact, as the passive majors looked appealing, even without the misguess DD boost. Here were the results for 10,000 hands of each card led with number of tricks for declarer, number and percentage of times that we set the contract, and the results IMP'd against "the other table" which is always leading the
♦4 (the number in parens is the per board IMP difference). In terms of number of times we set the contract, it is all pretty close, but in terms of IMP there is about 0.85 IMP/board between best and worst lead double dummy.
Quote
ST lead yeilds 99638 tricks (9.9638), sets 1139 times (11.39%) with imps of -1042 (-0.1042).
S9 lead yeilds 99638 tricks (9.9638), sets 1139 times (11.39%) with imps of -1042 (-0.1042).
S4 lead yeilds 98879 tricks (9.8879), sets 1302 times (13.02%) with imps of 1485 (0.1485).
S2 lead yeilds 98880 tricks (9.888), sets 1302 times (13.02%) with imps of 1484 (0.1484).
H9 lead yeilds 98511 tricks (9.8511), sets 1373 times (13.73%) with imps of 2607 (0.2607).
H8 lead yeilds 98511 tricks (9.8511), sets 1373 times (13.73%) with imps of 2607 (0.2607).
H2 lead yeilds 98707 tricks (9.8707), sets 1319 times (13.19%) with imps of 1817 (0.1817).
DK lead yeilds 102934 tricks (10.2934), sets 1019 times (10.19%) with imps of -5884 (-0.5884).
DT lead yeilds 100395 tricks (10.0395), sets 1213 times (12.13%) with imps of -1251 (-0.1251).
D4 lead yeilds 99821 tricks (9.9821), sets 1270 times (12.7%) with imps of 0 (0.0).
CQ lead yeilds 100925 tricks (10.0925), sets 1055 times (10.55%) with imps of -3233 (-0.3233).
CT lead yeilds 100479 tricks (10.0479), sets 1130 times (11.3%) with imps of -1971 (-0.1971).
C3 lead yeilds 100372 tricks (10.0372), sets 1074 times (10.74%) with imps of -2401 (-0.2401).
The code for the simulation is available at
code repository. I did mostly basic restrictions that partner is a passed hand (< 12 no rule of 20 and no preempt), my usual NT bidder restrictions (can have 5M or be 5m422 or 6m322, 15-17 but upgrade some 14 in and a few 17 out) => except NT bidder also needs 4-5 hearts and less than 4 spades due to stayman, dummy has 9-14 hcp, 4 spades, less than 4 hearts, no 6+ minor (with 4x(6+y) I thought 3m would be bid), and partner has no double of stayman (at least loosely defined).
So the
♥9, which received the 50 score on MSC, is best double dummy. Or tied for best with
♥8 (which only got 30 on MSC). Low heart is better than any other suit. Interesting there was one trick difference between the
♠2 and
♠4, which are the best non-heart lead - and MSC gave 40 and 10 respectively, and which are much better than a top spade lead.
IMP scoring
The MSC write up is in the June magazine, but what would you pick? What do you think does best double dummy? I recognize for many the answer to both might be the same, but it also might not.
There were 7 different cards picked by the MSC panel, but only one got 100 points (picked by half the panel), all others were 50 and below. Without spoiling or biasing too much, the scoring of the problem in MSC and double dummy analysis (at least with the assumptions/restrictions I made) are in conflict.