Cyberyeti, on Sep 21 2010, 11:11 AM, said:
655321, on Sep 21 2010, 10:30 AM, said:
Cyberyeti, on Sep 21 2010, 08:44 AM, said:
Not so easy this time it seems. It is customary on the forums when given both hands to bid to notice the best contract then construct an auction, however improbable, to reach it. 7♥ is a fairly abominable contract.
Abominable being slightly with the odds I think.
I haven't done exact numbers where the break in one suit affects the distibution of other suits, nor have I taken into account entries, etc when playing the hand, but the a priori numbers a good enough to give a rough idea:-
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35.05%
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Diamonds coming in for 5 tricks and hearts 4-1 onside (including singleton J offside) is 7.30%. The chance of dropping a singleton or doubleton ♣Q is less than 10%, for 0.71% in total. The chance of clubs being 4-3 is 62%, for 4.54% in total. On top of that you will occasionally be ably to ruff the 3rd round of clubs even when they are 5-2, but that will be a very low percentage number which I have not included. All up, I get 5.25% for this.
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7.96%, the a priori odds of ruffing out the ♣Q are 36.3%, without taking entries into account.
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The chance of these events (not the chance of making the contract given these events) are 2.8% for the ♥J singleton onside (I already included most of the ♥J singleton offside) and 2.4% for the ♦J being singleton.
I don't see that you can stretch these numbers into anything other than a comfortably anti-percentage grand. So, if you want to double-dummy an auction to the bad 7♥, fair enough, but you could consider leaving out the bit about how easy these hands are for you.

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