Pai Gow Probabilities
The following table shows the probability of forming any specified poker hand. These probabilites consider all seven cards and without regard to how the player may play the hand.
| Probabilities in Pai Gow Poker |
| Hand |
Combinations |
Probability |
| Five aces | 1128 | 0.00000732 |
| Straight/royal flush | 210964 | 0.00136862 |
| Four of a kind | 307472 | 0.00199472 |
| Full house | 4188528 | 0.02717299 |
| Flush | 6172088 | 0.04004129 |
| Straight | 11236028 | 0.07289350 |
| Three of a kind | 7470676 | 0.04846585 |
| Two pair | 35553816 | 0.23065464 |
| Pair | 64221960 | 0.41663862 |
| Nothing | 24780420 | 0.16076246 |
| Total | 154143080 | 1 |
Appendices
Appendix 1: Shows the probability the dealer will form any given hand or less. Useful for making accurate strategy decisions.
Appendix 2: My advice on when to split a two pair.
Appendix 3: Analysis of the Fortune Pai Gow Poker side bet.
Appendix 4: Analysis of No Push Pai Gow Poker.