| Online Poker Center | ||
|
||
|
||
| Support the FAQ | ||
|
The standard ranking of poker hands is based on their frequency of occurrence in a five card hand. In three card hands the relative frequency of hands is different, so different in fact that three of a kind beats a straight, and a straight beats a flush.
The following is a break down of all three card poker hands. They can be used for certain three card games, such as Guts or 3-card-6. They can also be used to analyze starting hands for games like 7-Card Stud.
Hand Type Kinds Each Total Cuml Rating --------- ----- ---- ----- ---- ------ straight flush 12 4 48 48 0.9978 trips 13 4 52 100 0.9955 straight 12 60 720 820 0.9629 flush ** 274 4 1096 1916 0.9133 pair *** 156 24 3744 5660 0.7439 Ace high 64 60 3840 9500 0.5701 King high 54 60 3240 12740 0.4235 Queen high 44 60 2640 15380 0.3041 Jack high 35 60 2100 17480 0.2090 Ten high 27 60 1620 19100 0.1357 Nine high 20 60 1200 20300 0.0814 Eight high 14 60 840 21140 0.0434 Seven high 9 60 540 21680 0.0190 Six high 5 60 300 21980 0.0054 Five high 2 60 120 22100 0.0000
** More on Flushes ------------------ High Card Kinds Percent Total Cuml Rating --------- ----- ------- ----- ---- ------ Ace high 64 23.4 256 1076 0.9513 King high 54 19.7 216 1292 0.9415 Queen high 44 16.1 176 1468 0.9336 Jack high 35 12.8 140 1608 0.9272 Ten high 27 9.9 108 1716 0.9224 Nine high 20 7.3 80 1796 0.9187 Eight high 14 5.1 56 1852 0.9162 Seven high 9 3.3 36 1888 0.9146 Six high 5 1.8 20 1908 0.9137 Five high 2 0.7 8 1916 0.9133
*** More on Pairs ----------------- Hand Type Kinds Each Total Cuml Rating --------- ----- ---- ----- ---- ------ AAx 12 24 288 2204 0.9003 KKx 12 24 288 2492 0.8872 QQx 12 24 288 2780 0.8742 JJx 12 24 288 3068 0.8612 TTx 12 24 288 3356 0.8481 99x 12 24 288 3644 0.8351 88x 12 24 288 3932 0.8221 77x 12 24 288 4220 0.8090 66x 12 24 288 4508 0.7960 55x 12 24 288 4796 0.7830 44x 12 24 288 5084 0.7700 33x 12 24 288 5372 0.7569 22x 12 24 288 5660 0.7439
In the preceding tables, "Kinds" refers to the number of card combinations in each class, while "Each" is the number of non-distinct hands of each Kind. The product of these two numbers gives the total number of hands in that class. "Cuml" is the cumulative total of all hands, and "Rating" is a percentile ranking of the lowest hand in the class.
Note that "Rating" is only an estimate of the probability of beating a random hand. To compute the exact probability, a given hand must be compared to the (49 choose 3) combinations of the remaining cards in the deck.