| Number of different hands a named player can receive | 635,013,559,600 |
| Number of different hands a named second player can receive | 8,122,425,444 |
| Number of different hands a named third and fourth player can receive | 10,400,600 |
| Odds to receive a perfect hand ( produces 13 tricks in no trump ) | 169,066,442 to 1 |
| Odds against AKQ AKQ AKQ AKQ and a J | 158,753,389,899 to 1 |
| Odds against a Yarborough | 1,827 to 1 |
| Odds against both partners receive a Yarborough | 546,000,000 to 1 |
| Odds against a hand with no card higher than the ten | 274 to 1 |
| Odds against a hand with no card higher than the jack | 52 to 1 |
| Odds against a hand with no card higher than the queen | 11 to 1 |
| Odds against a hand with no aces | about 2 to 1 |
