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Updated 13th October 2024 |
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STATISTICS &MORE STATISTICS
| SUITS SPLITTING | ||
|---|---|---|
| Missing Cards | Possible Split | Probability(%) |
| 2 | 2-0 | 48 |
| 1-1 | 52 | |
| 3 | 2-1 | 78 |
| 3-0 | 22 | |
| 4 | 3-1 | 49.7 |
| 2-2 | 40.7 | |
| 4-0 | 9.6 | |
| 5 | 3-2 | 67.83 |
| 4-1 | 28.26 | |
| 5-0 | 3.91 | |
| 6 | 4-2 | 48.4 |
| 3-3 | 35.5 | |
| 5-1 | 14.5 | |
| 6-0 | 1.5 | |
| 7 | 4-3 | 62.2 |
| 5-2 | 30.5 | |
| 6-1 | 6.8 | |
| 7-0 | 0.5 | |
| 8 | 5-3 | 47.1 |
| 4-4 | 32.7 | |
| 6-2 | 17.1 | |
| 7-1 | 2.9 | |
| 8-0 | 0.2 | |
| Hand Patterns | |||
|---|---|---|---|
| Pattern (any suit order) | Probability (%) | Pattern (any suit order) | Probability (%) |
| 4432 | 21.55 | 6520 | 0.65 |
| 4333 | 10.54 | 6610 | 0.072 |
| 4441 | 2.99 | 7321 | 1.88 |
| 5332 | 15.52 | 7222 | 0.51 |
| 5431 | 12.93 | 7411 | 0.39 |
| 5422 | 10.6 | 7420 | 0.36 |
| 5521 | 3.17 | 7330 | 0.27 |
| 5440 | 1.24 | 7510 | 0.11 |
| 5530 | 0.895 | 7600 | 0.0056 |
| 6322 | 5.64 | 8221 | 0.19 |
| 6421 | 4.7 | 8311 | 0.12 |
| 6331 | 3.45 | 8410 | 0.045 |
| 6430 | 1.33 | 8500 | 0.0031 |
| 6511 | 0.71 | 9211 | 0.018 |
| 9310 | 0.01 | ||
| Hand Patterns | |||
|---|---|---|---|
| Pattern (any suit order) | Probability (%) | Pattern (any suit order) | Probability (%) |
| 4432 | 21.55 | 6520 | 0.65 |
| 4333 | 10.54 | 6610 | 0.072 |
| 4441 | 2.99 | 7321 | 1.88 |
| 5332 | 15.52 | 7222 | 0.51 |
| 5431 | 12.93 | 7411 | 0.39 |
| 5422 | 10.6 | 7420 | 0.36 |
| 5521 | 3.17 | 7330 | 0.27 |
| 5440 | 1.24 | 7510 | 0.11 |
| 5530 | 0.895 | 7600 | 0.0056 |
| 6322 | 5.64 | 8221 | 0.19 |
| 6421 | 4.7 | 8311 | 0.12 |
| 6331 | 3.45 | 8410 | 0.045 |
| 6430 | 1.33 | 8500 | 0.0031 |
| 6511 | 0.71 | 9211 | 0.018 |
| 9310 | 0.01 | ||
and even more Stats :-
Probability that either partnership will have enough to bid game,
assuming a 26+ point game = 25.29% (1 in 3.95 deals)
Probability that either partnership will have enough to bid slam,
assuming a 33+ point slam = .70% (1 in 143.5 deals)
Probability that either partnership will have enough to bid grandslam,
assuming a 37+ point grand slam = .02% (about 1 in 5,848 deals)
Number of different hands a named player can receive = 635,013,559,600
Number of different hands a second player can receive = 8,122,425,444
Number of different hands the 3rd and 4th players can receive =
10,400,600
Number of possible deals = 52!/(13!)^4 =
53,644,737,765,488,792,839,237,440,000
Number of possible auctions with North as dealer, assuming that East
and West pass throughout = 2^36 - 1 = 68,719,476,735
Number of possible auctions with North as dealer,
assuming that East and West do not pass throughout =
128,745,650,347,030,683,120,231,926,111,609,371,363,122,697,557
Odds against each player having a complete suit =
2,235,197,406,895,366,368,301,559,999 to 1
Odds against receiving a hand with 37 HCP (4 Aces, 4 Kings, 4 Queens,
and 1 Jack) = 158,753,389,899 to 1
Odds against receiving a perfect hand (13 cards in one suit) =
169,066,442 to 1
Odds against a Yarborough = 1827 to 1
Odds against both members of a partnership receiving a Yarborough =
546,000,000 to 1
Odds against a hand with no card higher than 10 = 274 to 1
Odds against a hand with no card higher than Jack = 52 to 1
Odds against a hand with no card higher than Queen = 11 to 1
Odds against a hand with no Aces = 2 to 1
Odds against being dealt four Aces = 378 to 1
Odds against being dealt four honors in one suit = 22 to 1
Odds against being dealt five honors in one suit = 500 to 1
Odds against being dealt at least one singleton = 2 to 1
Odds against having at least one void = 19 to 1
Odds that two partners will be dealt 26 named cards between them =
495,918,532,918,103 to 1
Odds that no players will be dealt a singleton or void = 4 to 1
