Introduction
This page examines the probabilities of each final hand of an arbitrary player, referred to as player two, given the poker value of the hand of the other player, referred to as player one. Combinations shown are out of a possible combin(52,5)×combin(47,2)×combin(45,2) = 2,781,381,002,400. The primary reason for this page was to assist with bad beat probabilities in a two-player game, for example the Bad Beat Bonus in Ultimate Texas Hold 'Em.
For example, if you wish to know the probability of a particular player getting a full house and losing to a four of a kind, we can see from table 7 that there are 966,835,584 such combinations. The same table shows us that given that player one has a full house, the probability of losing to a four of a kind is 0.013390. To get the probability before any cards are dealt, divide 966,835,584 by the total possible combinations of 2,781,381,002,400, which yields 0.0002403.
Table 1 shows the number of combinations for each hand of a second player, given that the first player has less than a pair.
Table 1 — First Player has Less than Pair
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 164,934,908,760 | 0.340569 |
| Pair | 228,994,769,160 | 0.472845 |
| Two pair | 43,652,558,880 | 0.090137 |
| Three of a kind | 7,303,757,580 | 0.015081 |
| Straight | 26,248,866,180 | 0.054201 |
| Flush | 13,060,678,788 | 0.026969 |
| Full house | - | 0.000000 |
| Four of a kind | - | 0.000000 |
| Straight flush | 85,751,460 | 0.000177 |
| Royal flush | 10,532,592 | 0.000022 |
| Total | 484,291,823,400 | 1.000000 |
The chances of getting a top starting hand (of double aces, picture pairs or A-K. Texas Holdem Heads-Up Preflop Odds. This table was created by enumerating through every possible board and opponent hole card combination for each of the 169 texas holdem preflop starting hands. The numbers are exact to the rounding I used, which was. The following tables provide various probabilities and odds for many of the common events in a game of Texas hold 'em. Odds% Example Win% 330-to-1 0.30% JJ v 77 80% v 20%. Poker Odds Charts. Poker odds charts come in useful when you want to quickly work out the odds of winning a hand in Texas Hold'em. The most commonly used odds charts are the 'standard poker odds charts' below, which give both the percentage and ratio odds of completing your draw depending on the number of outs you have (see pot odds and drawing hands for more information).
The odds in this Texas Hold'em odds table are unlikely to directly help your overall strategy, but they are pretty interesting nonetheless. The Texas Hold'em odds for each of the different situations have been given in both percentage and ratio odds, so use whichever format.
Table 2 shows the number of combinations for each hand of a second player, given that the first player has a pair.
Table 2 — First Player has a Pair
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 228,994,769,160 | 0.187874 |
| Pair | 574,484,133,960 | 0.471324 |
| Two pair | 270,127,833,552 | 0.221621 |
| Three of a kind | 47,736,401,832 | 0.039164 |
| Straight | 50,797,137,096 | 0.041676 |
| Flush | 30,076,271,352 | 0.024675 |
| Full house | 15,829,506,000 | 0.012987 |
| Four of a kind | 586,278,000 | 0.000481 |
| Straight flush | 214,250,184 | 0.000176 |
| Royal flush | 25,380,864 | 0.000021 |
| Total | 1,218,871,962,000 | 1.000000 |
Table 3 shows the number of combinations for each hand of a second player, given that the first player has a two pair.
Table 3 — First Player has a Two Pair
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 43,652,558,880 | 0.066798 |
| Pair | 270,127,833,552 | 0.413355 |
| Two pair | 246,286,292,328 | 0.376872 |
| Three of a kind | 31,155,189,408 | 0.047674 |
| Straight | 18,549,991,152 | 0.028386 |
| Flush | 14,200,694,712 | 0.021730 |
| Full house | 28,751,944,680 | 0.043997 |
| Four of a kind | 653,378,400 | 0.001000 |
| Straight flush | 109,829,304 | 0.000168 |
| Royal flush | 12,673,584 | 0.000019 |
| Total | 653,500,386,000 | 1.000000 |
Table 4 shows the number of combinations for each hand of a second player, given that the first player has a three of a kind.
Table 4 — First Player has a Three of a Kind
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 7,303,757,580 | 0.054369 |
| Pair | 47,736,401,832 | 0.355348 |
| Two pair | 31,155,189,408 | 0.231918 |
| Three of a kind | 27,586,332,384 | 0.205352 |
| Straight | 3,310,535,196 | 0.024643 |
| Flush | 2,606,403,900 | 0.019402 |
| Full house | 12,910,316,760 | 0.096104 |
| Four of a kind | 1,705,867,680 | 0.012698 |
| Straight flush | 19,970,844 | 0.000149 |
| Royal flush | 2,304,216 | 0.000017 |
| Total | 134,337,079,800 | 1.000000 |
Table 5 shows the number of combinations for each hand of a second player, given that the first player has a straight.
Table 5 — First Player has a Straight
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 26,248,866,180 | 0.204299 |
| Pair | 50,797,137,096 | 0.395362 |
| Two pair | 18,549,991,152 | 0.144377 |
| Three of a kind | 3,310,535,196 | 0.025766 |
| Straight | 25,219,094,136 | 0.196284 |
| Flush | 3,229,836,828 | 0.025138 |
| Full house | 975,510,000 | 0.007593 |
| Four of a kind | 43,198,800 | 0.000336 |
| Straight flush | 98,961,348 | 0.000770 |
| Royal flush | 9,485,064 | 0.000074 |
| Total | 128,482,615,800 | 1.000000 |
Table 6 shows the number of combinations for each hand of a second player, given that the first player has a flush.
Table 6 — First Player has a Flush
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 13,060,678,788 | 0.155206 |
| Pair | 30,076,271,352 | 0.357410 |
| Two pair | 14,200,694,712 | 0.168754 |
| Three of a kind | 2,606,403,900 | 0.030973 |
| Straight | 3,229,836,828 | 0.038382 |
| Flush | 19,608,838,592 | 0.233021 |
| Full house | 1,102,206,960 | 0.013098 |
| Four of a kind | 50,221,200 | 0.000597 |
| Straight flush | 191,762,164 | 0.002279 |
| Royal flush | 23,604,264 | 0.000281 |
| Total | 84,150,518,760 | 1.000000 |
Table 7 shows the number of combinations for each hand of a second player, given that the first player has a full house.
Table 7 — First Player has a Full House
| Event | Pays | Probability |
|---|---|---|
| Less than pair | - | 0.000000 |
| Pair | 15,829,506,000 | 0.219222 |
| Two pair | 28,751,944,680 | 0.398185 |
| Three of a kind | 12,910,316,760 | 0.178795 |
| Straight | 975,510,000 | 0.013510 |
| Flush | 1,102,206,960 | 0.015264 |
| Full house | 11,661,414,336 | 0.161499 |
| Four of a kind | 966,835,584 | 0.013390 |
| Straight flush | 8,767,440 | 0.000121 |
| Royal flush | 993,600 | 0.000014 |
| Total | 72,207,495,360 | 1.000000 |
Table 8 shows the number of combinations for each hand of a second player, given that the first player has a four of a kind.
Table 8 — First Player has a Four of a Kind
| Event | Pays | Probability |
|---|---|---|
| Less than pair | - | 0.000000 |
| Pair | 586,278,000 | 0.125418 |
| Two pair | 653,378,400 | 0.139772 |
| Three of a kind | 1,705,867,680 | 0.364923 |
| Straight | 43,198,800 | 0.009241 |
| Flush | 50,221,200 | 0.010743 |
| Full house | 966,835,584 | 0.206828 |
| Four of a kind | 668,375,136 | 0.142980 |
| Straight flush | 390,960 | 0.000084 |
| Royal flush | 44,160 | 0.000009 |
| Total | 4,674,589,920 | 1.000000 |
Table 9 shows the number of combinations for each hand of a second player, given that the first player has a straight flush.
Table 9 — First Player has a Straight Flush
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 85,751,460 | 0.110699 |
| Pair | 214,250,184 | 0.276582 |
| Two pair | 109,829,304 | 0.141782 |
| Three of a kind | 19,970,844 | 0.025781 |
| Straight | 98,961,348 | 0.127752 |
| Flush | 191,762,164 | 0.247552 |
| Full house | 8,767,440 | 0.011318 |
| Four of a kind | 390,960 | 0.000505 |
| Straight flush | 44,354,840 | 0.057259 |
| Royal flush | 596,856 | 0.000770 |
| Total | 774,635,400 | 1.000000 |
Table 10 shows the number of combinations for each hand of a second player, given that the first player has a royal flush.
Table 10 — First Player has a Royal Flush
| Event | Pays | Probability |
|---|---|---|
| Less than pair | 10,532,592 | 0.117164 |
| Pair | 25,380,864 | 0.282336 |
| Two pair | 12,673,584 | 0.140981 |
| Three of a kind | 2,304,216 | 0.025632 |
| Straight | 9,485,064 | 0.105512 |
| Flush | 23,604,264 | 0.262573 |
| Full house | 993,600 | 0.011053 |
| Four of a kind | 44,160 | 0.000491 |
| Straight flush | 596,856 | 0.006639 |
| Royal flush | 4,280,760 | 0.047619 |
| Total | 89,895,960 | 1.000000 |
The following table shows the number of combinations for each hand of player 1 by the winner of the hand.
Table 11 — Winning Player by Hand of Player 1 — Combinations
| Player 1 | Win | Tie | Loss | |
|---|---|---|---|---|
| Less than pair | 76,626,795,600 | 11,681,317,560 | 395,983,710,240 | 484,291,823,400 |
| Pair | 496,857,988,764 | 38,757,694,752 | 683,256,278,484 | 1,218,871,962,000 |
| Two pair | 419,896,266,012 | 34,054,545,168 | 199,549,574,820 | 653,500,386,000 |
| Three of a kind | 97,664,829,948 | 4,647,370,128 | 32,024,879,724 | 134,337,079,800 |
| Straight | 103,685,076,072 | 15,662,001,240 | 9,135,538,488 | 128,482,615,800 |
| Flush | 71,523,195,288 | 2,910,219,176 | 9,717,104,296 | 84,150,518,760 |
| Full house | 62,810,500,464 | 5,179,382,208 | 4,217,612,688 | 72,207,495,360 |
| Four of a kind | 4,240,864,800 | 198,204,864 | 235,520,256 | 4,674,589,920 |
| Straight flush | 734,237,144 | 35,247,960 | 5,150,296 | 774,635,400 |
| Royal flush | 85,615,200 | 4,280,760 | - | 89,895,960 |
| Total | 1,334,125,369,292 | 113,130,263,816 | 1,334,125,369,292 | 2,781,381,002,400 |
The following table shows the probability for each hand of player 1 by the winner of the hand. The bottom row shows that each player has a 47.97% chance of winning and a 4.07% chance of a tie.
Texas Holdem Table For Sale
Table 12 — Winning Player by Hand of Player 1 — Probabilities
| Player 1 Hand | Player 1 | Tie | Player 2 | Total |
|---|---|---|---|---|
| Less than pair | 0.027550 | 0.004200 | 0.142369 | 0.174119 |
| Pair | 0.178637 | 0.013935 | 0.245654 | 0.438225 |
| Two pair | 0.150967 | 0.012244 | 0.071745 | 0.234955 |
| Three of a kind | 0.035114 | 0.001671 | 0.011514 | 0.048299 |
| Straight | 0.037278 | 0.005631 | 0.003285 | 0.046194 |
| Flush | 0.025715 | 0.001046 | 0.003494 | 0.030255 |
| Full house | 0.022582 | 0.001862 | 0.001516 | 0.025961 |
| Four of a kind | 0.001525 | 0.000071 | 0.000085 | 0.001681 |
| Straight flush | 0.000264 | 0.000013 | 0.000002 | 0.000279 |
| Royal flush | 0.000031 | 0.000002 | 0.000000 | 0.000032 |
| Total | 0.479663 | 0.040674 | 0.479663 | 1.000000 |