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Release 2.19r
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December 8 Solution

 

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Miscellaneous Bridge Probabilities
Number of hands a player can receive: 635,013,559,600  
Number of different possible deals:   53,644,737,765,488,700,000,000,000,000
Number of different possible auctions: 128,745,650,347,030,000,000,000,000,000,000,000,000,000,000,000
Odds against a player being dealt Playing 26 boards twice a week expect
13 cards in one suit 169,066,442 to 1 Once every 60 000 years!
8 cards in one suit   213 to 1 Once a month
7 cards in one suit  28 to 1 Once a session
6 cards in one suit   6 to 1 Four times a night
at least one singleton   2 to 1 Once a two board round
at least one void  19 to 1 Once a session
AKQJ10 in a suit   500 to 1 Once every three months
four Aces  378 to 1 Once every two months
a hand with no points  278 to 1 Once a month
a Yarborough (no10)  1827 to 1  Twice a year
Odds against a partnership being dealt  
26+ HCP   8 to 1  Three times a night
33+ HCP small slam in NT   288 to 1  Once a month
37+ HCP grand slam in NT   11600 to 1  Once every two years
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