Poker is great game of bluff. You don't have to play for money but if you do then you feel like you're actually winning or losing something.
Assuming a standard deck of 52 cards (ie no jokers) and that the order of the cards is irrelevant, then the number of hands possible for a single deal is 2,598,960.
Here are the poker combinations:
| Name of hand | Description |
Number of ways such a hand can be dealt |
Probability such a hand can be dealt (accurate to 4 digits) |
|---|---|---|---|
| Royal flush | 10, jack, queen, king, and ace, all of one suit | 4 | 1 in 649,740.0000 |
| Straight flush | 5 consecutive cards of one suit | 36 | 1 in 72,193.3333 |
| Four of a kind | 4 cards of one denomination | 624 | 1 in 4,165.0000 |
| Full house | 3 cards of one denomination and 2 of another | 3744 | 1 in 694.1667 |
| Flush | 5 cards of one suit | 5108 | 1 in 509.8019 |
| Straight | 5 consecutive cards of mixed suits | 10,200 | 1 in 255.8000 |
| Three of a kind | 3 cards of one denomination | 54,912 | 1 in 47.3295 |
| Two pairs | 2 cards of one denomination and 2 of another | 123,552 | 1 in 21.0354 |
| One pair | 2 cards of one denomination | 1,098,240 | 1 in 2.3665 |
| None of the above | 1,302,540 | 1 in 1.9953 |
2007-10-22 19:45:52Z