Calculations in Poker
In poker the poker players take chances as nothing is guaranteed (hence the betting). Several books are available in the market analyze the calculations of poker. Although a player needs no tools to measure poker, still the experienced player must comprehend numbers.
There are 2,598,960 different combinations of five-card poker that a player could get with a pack of fifty-two cards. The possibility of receiving these hands when dealt the first five cards are listed below.
| KIND OF HAND | QUANTITY IN DECK | ODDS AGAINST |
| Royal flush | 4 | 649,739:1 |
| Straight flush | 40 | 64,973:1 |
| 4 of a kind | 624 | 4164:1 |
| Full house | 3,744 | 693:1 |
| Flush | 5,108 | 508:1 |
| Straight | 10,200 | 254:1 |
| 3 of a kind | 54,912 | 46:1 |
| 2 pairs | 123,552 | 20:1 |
| 1 pair | 1,098,240 | 1.25:1 |
| No pair | 1,302,540 | Events |
Prior to attempting to create the inside straight (whose odds are 11:1), a player must know the poker odds. The chances against enhancing a hand by pulling cards are listed below; these could also assist a player in recognizing his chances in a stud game too.
| CARDS KEPT | CARDS DRAWN | IMPROVED HANDS | ODDS AGAINST |
| 1 Pair | 3 | 2 Pairs | 5.25:1 |
| 1 Pair | 3 | 3 of a Kind | 8:1 |
| 1 Pair | 3 | Full House | 97:1 |
| 1 Pair | 3 | 4 of a Kind | 359:1 |
| 1 Pair | 3 | Any improvement | 2.5:1 |
| 2 Pairs | 1 | Full House | 11:1 |
| 3 of a Kind | 2 | Full House | 15.5:1 |
| 3 of a Kind | 2 | 4 of a Kind | 22.5:1 |
| 4 Straight | 1 | Straight | 5:1 |
| (Open ended) | |||
| 4-Straight | 1 | Straight | 11:1 |
| (Inside) | |||
| Four-flush | 1 | Flush | 4.5:1 |
| Three-flush | 2 | Flush | 23:1 |
| Two-flush | 3 | Flush | 96:1 |