Poker Odds Calculator Heads Up
- Again, your winning odds are 2.2 (since we’re on the turn) × 8, or 17.6%. In both our examples, you held drawing hands which made counting odds slightly easier, but imagine you were playing heads up and your opponent was the one with the draw.
- The most advanced Poker Odds Calculator on the web. Know your probability of having a winning hand against one or many opponents in Texas Hold'em.
On This Page
Introduction
Poker Odds - Calculating Hand Odds In Texas Hold'em Poker & Charts Learning how to properly count your outs and calculate poker odds is a fundamental requirement of Texas Hold'em. While the math used to calculate odds might sound scary and over the head of a new player, it really isn't as hard as it looks. Heads Up Poker Calculator H2H Poker is an online Poker site. This tool works on play tables and cash tables so you can test it out before risking. Holdem Indicator Holdem Indicator is a poker odds calculator. Poker Office has gone from strength to strength and in. Let’s start by looking at hand.
Heads Up Hold 'Em is an Ultimate Texas Hold 'Em variant by Galaxy Gaming, based on Texas Hold 'Em. The player may raise his bet one time, and has three opportunities to do so. The earlier he raises, the more he can bet. The main differences between Heads Up Hold 'Em and Ultimate Texas Hold 'Em are in the former the player may raise only 3x his Ante bet before the flop, but the game includes bad beat bonuses for losing with a straight or higher.
Poker Odds Calculator Heads Update
Rules
Following are the rules for Heads Up Hold 'Em. For those used to the terminology in Ultimate Texas Hold 'Em, what is called the Blind there called the Odds bet here.
- The game is played with a single ordinary 52-card deck.
- The player must make an equal bet on both the Ante and Odds.
- Two cards are dealt face down to the player and dealer. The player may look at his own cards.
- The player can check or make a Play bet equal to three times the Ante.
- The dealer turns over three community cards.
- If the player previously checked, then he may make a Play bet equal to two times his Ante or check again. If the player already made a Play bet, then he may not bet further.
- Two final community cards are turned over.
- If the player previously checked twice, then he must either make a Play bet equal to exactly his Ante, or fold, losing both his Ante and Odds bets. If the player already raised he may not bet further.
- The player and dealer will both make the best possible hand using any combination of their own two cards and the five community cards.
- The dealer will need at least a pair to open.
- The following table shows how the Ante, Odds, and Play bets are scored, according to who wins, and whether the dealer opens.
Scoring Rules
Winner Dealer Opens Ante Play Odds Player Yes Win Win See rule 12 Player No Push Win See rule 12 Dealer Yes Lose Lose See rule 12 Dealer No Push Lose Lose Tie Yes or No Push Push Push - Winning Ante and Play bets pay 1 to 1. Winning Odds bets pay according to value of the hand and whether it wins or loses. The following pay table shows what winning Odds bets pay.
Winning Odds Bet Pay Table
Hand Pays Royal Flush 500 Straight Flush 50 Quads 10 Full House 3 Flush 1.5 Straight 1 All Other Push Galaxy Gaming, the game owner, has four different pay tables for losing blind bets, as follows.
Losing Odds Bet Pay Table
Hand Pay Table 1 2 3 4 Straight Flush 500 500 500 500 Quads 50 50 50 25 Full House 10 10 10 6 Flush 8 6 5 5 Straight 5 5 4 4 All Other Loss Loss Loss Loss - In addition, there are two side bets, that pay based on the player's cards only, the Trips Plus and Pocket Bonus. These side bets are explained after the analysis of the base game.
Strategy
The player should make the 3X raise with any pair except deuces. Otherwise, use the following table shows when to make the large 3X raise.
The strategy for the medium and small raise are the same as in Ultimate Texas Hold 'Em, as follows:
Medium Raise: Make the 2X raise with any of the following:
- Two pair or better.
- Hidden pair*, except pocket deuces.
- Four to a flush including a hidden 10 or better to that flush
* Hidden pair = Any pair with at least one card in your hole cards (thus the pair is hidden to the dealer).
Small Raise: Make the 1X raise with any of the following, otherwise fold:
- Hidden pair or better.
- Less than 21 dealer outs beat you.
For a more powerful small and medium raise strategy, I recommend the James Grossjean strategy card for Ultimate Texas Hold 'Em.
Analysis
The following table shows all possible outcomes of each hand, what it pays, the probability, and contribution to the return under the losing Odds bet pay table number 1 (the one that goes 500-50-10-8-5). The lower right cell shows a house edge of 2.36%.
Return TableExpand
| Player | Raise | Dealer Qualifies | Winner | Pays | Combinations | Probability | Return |
|---|---|---|---|---|---|---|---|
| Fold | -2 | 5,498,078,560,920 | 0.197674 | -0.395349 | |||
| Less than pair | 1 | No | Dealer | -2 | 60,518,663,424 | 0.002176 | -0.004352 |
| Straight flush | 1 | Yes | Dealer | 498 | 20,279,100 | 0.000001 | 0.000363 |
| Four of a kind | 1 | Yes | Dealer | 48 | 1,726,735,980 | 0.000062 | 0.002980 |
| Full house | 1 | Yes | Dealer | 8 | 10,082,720,220 | 0.000363 | 0.002900 |
| Flush | 1 | Yes | Dealer | 6 | 49,072,032,216 | 0.001764 | 0.010586 |
| Straight | 1 | Yes | Dealer | 3 | 47,952,010,720 | 0.001724 | 0.005172 |
| Less than straight | 1 | Yes | Dealer | -3 | 3,006,630,550,164 | 0.108098 | -0.324295 |
| Anything | 1 | Y/N | Push | 0 | 455,081,939,824 | 0.016362 | 0.000000 |
| Royal flush | 1 | No | Player | 501 | 6,914,880 | 0.000000 | 0.000125 |
| Straight flush | 1 | No | Player | 51 | 279,004,320 | 0.000010 | 0.000512 |
| Four of a kind | 1 | No | Player | 11 | - | 0.000000 | 0.000000 |
| Full house | 1 | No | Player | 4 | - | 0.000000 | 0.000000 |
| Flush | 1 | No | Player | 2.5 | 43,096,215,600 | 0.001549 | 0.003874 |
| Straight | 1 | No | Player | 2 | 145,034,240,580 | 0.005214 | 0.010429 |
| Less than straight | 1 | No | Player | 1 | 816,981,676,824 | 0.029373 | 0.029373 |
| Royal flush | 1 | Yes | Player | 502 | 46,580,760 | 0.000002 | 0.000841 |
| Straight flush | 1 | Yes | Player | 52 | 2,023,968,588 | 0.000073 | 0.003784 |
| Four of a kind | 1 | Yes | Player | 12 | 964,337,328 | 0.000035 | 0.000416 |
| Full house | 1 | Yes | Player | 5 | 46,108,374,192 | 0.001658 | 0.008289 |
| Flush | 1 | Yes | Player | 3.5 | 202,016,746,236 | 0.007263 | 0.025421 |
| Straight | 1 | Yes | Player | 3 | 421,268,280,080 | 0.015146 | 0.045438 |
| Less than straight | 1 | Yes | Player | 2 | 1,600,861,520,204 | 0.057556 | 0.115113 |
| Less than pair | 2 | No | Dealer | -3 | 11,023,268,784 | 0.000396 | -0.001189 |
| Straight flush | 2 | Yes | Dealer | 497 | 16,724,460 | 0.000001 | 0.000299 |
| Four of a kind | 2 | Yes | Dealer | 47 | 311,575,460 | 0.000011 | 0.000527 |
| Full house | 2 | Yes | Dealer | 7 | 18,705,932,580 | 0.000673 | 0.004708 |
| Flush | 2 | Yes | Dealer | 5 | 27,615,003,664 | 0.000993 | 0.004964 |
| Straight | 2 | Yes | Dealer | 2 | 21,031,977,440 | 0.000756 | 0.001512 |
| Less than straight | 2 | Yes | Dealer | -4 | 1,979,644,169,384 | 0.071175 | -0.284699 |
| Anything | 2 | Y/N | Push | 0 | 214,144,135,720 | 0.007699 | 0.000000 |
| Royal flush | 2 | No | Player | 502 | 11,938,680 | 0.000000 | 0.000215 |
| Straight flush | 2 | No | Player | 52 | 397,598,400 | 0.000014 | 0.000743 |
| Four of a kind | 2 | No | Player | 12 | - | 0.000000 | 0.000000 |
| Full house | 2 | No | Player | 5 | - | 0.000000 | 0.000000 |
| Flush | 2 | No | Player | 3.5 | 45,718,738,920 | 0.001644 | 0.005753 |
| Straight | 2 | No | Player | 3 | 53,068,201,380 | 0.001908 | 0.005724 |
| Less than straight | 2 | No | Player | 2 | 1,207,385,216,712 | 0.043410 | 0.086819 |
| Royal flush | 2 | Yes | Player | 503 | 147,692,880 | 0.000005 | 0.002671 |
| Straight flush | 2 | Yes | Player | 53 | 3,016,851,612 | 0.000108 | 0.005749 |
| Four of a kind | 2 | Yes | Player | 13 | 20,440,911,312 | 0.000735 | 0.009554 |
| Full house | 2 | Yes | Player | 6 | 320,575,227,408 | 0.011526 | 0.069155 |
| Flush | 2 | Yes | Player | 4.5 | 183,447,763,404 | 0.006596 | 0.029680 |
| Straight | 2 | Yes | Player | 4 | 158,035,798,360 | 0.005682 | 0.022728 |
| Less than straight | 2 | Yes | Dealer | 3 | 2,415,318,761,280 | 0.086839 | 0.260516 |
| Less than pair | 3 | No | Dealer | -4 | 66,873,993,600 | 0.002404 | -0.009617 |
| Straight flush | 3 | Yes | Dealer | 496 | 14,499,400 | 0.000001 | 0.000259 |
| Four of a kind | 3 | Yes | Dealer | 46 | 316,891,120 | 0.000011 | 0.000524 |
| Full house | 3 | Yes | Dealer | 6 | 13,387,474,080 | 0.000481 | 0.002888 |
| Flush | 3 | Yes | Dealer | 4 | 20,484,007,080 | 0.000736 | 0.002946 |
| Straight | 3 | Yes | Dealer | 1 | 22,371,396,720 | 0.000804 | 0.000804 |
| Less than straight | 3 | Yes | Dealer | -5 | 3,136,124,565,400 | 0.112754 | -0.563771 |
| Anything | 3 | Y/N | Push | 0 | 223,641,379,520 | 0.008041 | 0.000000 |
| Royal flush | 3 | No | Player | 503 | 86,472,360 | 0.000003 | 0.001564 |
| Straight flush | 3 | No | Player | 53 | 180,911,880 | 0.000007 | 0.000345 |
| Four of a kind | 3 | No | Player | 13 | - | 0.000000 | 0.000000 |
| Full house | 3 | No | Player | 6 | - | 0.000000 | 0.000000 |
| Flush | 3 | No | Player | 4.5 | 41,791,833,360 | 0.001503 | 0.006762 |
| Straight | 3 | No | Player | 4 | 64,386,219,840 | 0.002315 | 0.009260 |
| Less than straight | 3 | No | Player | 3 | 1,317,173,128,560 | 0.047357 | 0.142070 |
| Royal flush | 3 | Yes | Player | 504 | 556,552,440 | 0.000020 | 0.010085 |
| Straight flush | 3 | Yes | Player | 54 | 1,444,036,640 | 0.000052 | 0.002804 |
| Four of a kind | 3 | Yes | Player | 14 | 21,003,399,360 | 0.000755 | 0.010572 |
| Full house | 3 | Yes | Player | 7 | 261,421,403,040 | 0.009399 | 0.065793 |
| Flush | 3 | Yes | Player | 5.5 | 199,160,655,360 | 0.007160 | 0.039383 |
| Straight | 3 | Yes | Player | 5 | 195,058,020,480 | 0.007013 | 0.035065 |
| Less than straight | 3 | Yes | Player | 4 | 3,140,424,343,760 | 0.112909 | 0.451635 |
| Total | 27,813,810,024,000 | 1.000000 | -0.023584 | ||||
As shown in the lower right cell, the house edge is 2.36%. This is the expected loss to the Ante wager only. For example, if the player bets $5 on both the Ante and Odds, then his expected loss would be $5 × 0.023584 = 11.79¢.
The average final wager per hand is 3.67 units. That makes the element of risk 2.36%/3.67 = 0.64%. This means for every dollar you wager in the game, on anything, other than the side bets, you can expect to lose 0.64¢.
By comparison, the element of risk in Ultimate Texas Hold 'Em is 0.53%.
The standard deviation, relative to to the Ante bet, is 4.56.
The next table shows the house edge and element of risk under all four losing Odds bet pay tables according to the pay table for a losing Odds bet.
House Edge Summary
| Hand | Losing Odds Bet Pay Table | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| Straight Flush | 500 | 500 | 500 | 500 |
| Quads | 50 | 50 | 50 | 25 |
| Full House | 10 | 10 | 10 | 6 |
| Flush | 8 | 6 | 5 | 5 |
| Straight | 5 | 5 | 4 | 4 |
| All Other | Loss | Loss | Loss | Loss |
| House edge | 2.36% | 3.06% | 3.73% | 4.55% |
| Element of Risk | 0.64% | 0.83% | 1.02% | 1.24% |
This is full table cloth.
Trips Plus
The Trips Plus bet will pay according to the poker value of the player's hand regardless of the value of the dealer's hand. Following is an analysis of the most common pay table.
Trips Plus Return Table
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Royal flush | 100 | 4,324 | 0.000032 | 0.003232 |
| Straight flush | 40 | 37,260 | 0.000279 | 0.011140 |
| Four of a kind | 30 | 224,848 | 0.001681 | 0.050420 |
| Full house | 8 | 3,473,184 | 0.025961 | 0.207688 |
| Flush | 7 | 4,047,644 | 0.030255 | 0.211785 |
| Straight | 4 | 6,180,020 | 0.046194 | 0.184775 |
| Three of a kind | 3 | 6,461,620 | 0.048299 | 0.144896 |
| All other | -1 | 113,355,660 | 0.847300 | -0.847300 |
| Total | 133,784,560 | 1.000000 | -0.033363 |
The next table shows four known pay tables for the Trips Plus.
Trips Plus Pay Tables
| Hand | Pay Table | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| Royal flush | 100 | 100 | 100 | 100 |
| Straight flush | 40 | 40 | 40 | 40 |
| Four of a kind | 30 | 30 | 30 | 30 |
| Full house | 9 | 8 | 8 | 7 |
| Flush | 7 | 6 | 7 | 6 |
| Straight | 4 | 5 | 4 | 5 |
| Three of a kind | 3 | 3 | 3 | 3 |
| All other | -1 | -1 | -1 | -1 |
| Total | -0.74% | -1.74% | -3.34% | -4.34% |
Pocket Bonus
Poker Odds Calculator Heads Up Odds
The Pocket Bonus bet will pay according to the value of the player's two hole cards. The follow tables show what each two cards pays, the probability, and contribution to the total return for each known pay table for the Pocket Bonus.
Pocket Bonus — Pay Table 1
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Pair of aces | 30 | 6 | 0.004525 | 0.135747 |
| Ace & face suited | 20 | 12 | 0.009050 | 0.180995 |
| Ace & face unsuited | 10 | 36 | 0.027149 | 0.271493 |
| Pair 2s - Ks | 5 | 72 | 0.054299 | 0.271493 |
| Loser | -1 | 1,200 | 0.904977 | -0.904977 |
| Total | 1,326 | 1.000000 | -0.045249 |
Pocket Bonus — Pay Table 2
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Pair of aces | 25 | 6 | 0.004525 | 0.113122 |
| Ace & face suited | 20 | 12 | 0.009050 | 0.180995 |
| Ace & face unsuited | 10 | 36 | 0.027149 | 0.271493 |
| Pair 2s - Ks | 5 | 72 | 0.054299 | 0.271493 |
| Loser | -1 | 1,200 | 0.904977 | -0.904977 |
| Total | 1,326 | 1.000000 | -0.067873 |
Pocket Bonus — Pay Table 3
| Hand | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Pair of aces | 30 | 6 | 0.004525 | 0.135747 |
| Ace & face suited | 20 | 12 | 0.009050 | 0.180995 |
| Ace & face unsuited | 10 | 36 | 0.027149 | 0.271493 |
| Pair 2s - Ks | 4 | 72 | 0.054299 | 0.217195 |
| Loser | -1 | 1,200 | 0.904977 | -0.904977 |
| Total | 1,326 | 1.000000 | -0.099548 |
Acknowledgments
I would like to thank Charles Mousseau and Stephen How for their assistance, which confirmed my analysis. Thanks to Charles also for his advice on the medium and small raise strategy.
Internal Links
Detailed calculations on some starting hands.
Extneral Links
Play Heads Up Hold 'Em at the Galaxy Gaming web site. One click and you're playing.
Written by:Michael Shackleford
No longer available. Use PokerStove instead.
How to use the poker odds calculator.
1] Choose Player 1's and Player 2's holecards by clicking the card choices in the bottom section. The cards will be input into the calculator from left to right, so your first two choices will be Player 1's cards, and your second two choices will be player 2's cards.
2] The suit of the cards can be changed via the small box in the bottom left-hand corner of the Texas Holdem odds calculator.
3] If you do not want to see the pre-flop odds, you can choose another 3 flop cards to see the probabilities of Player 1's cards winning, drawing or losing against Player 2's cards by the time all community cards have been dealt after the flop has been seen.
4] Furthermore, you can see the probabilities of Player 1's cards winning, drawing or losing against Player 2's cards by the time all community cards have been dealt after the turn has be seen by selecting another card.
Poker odds calculator information.
The odds calculator can be used to simulate heads-up Texas Hold'em situations to find each hand's chance of winning before the flop, on the flop, and on the turn.
The values displayed in the bottom right-hand box display the hands' chance of winning, which can be useful in determining whether to call varying sizes of bets and raises. For information on how to use this information to your advantage, have a read over the pot odds article.
An amazing (and free) offline odds calculator.
Almost every regular online poker player I know uses PokerStove.
PokerStove is a simple and free little odds calculator program that you can download and install on your PC. It does the same sort of thing as the calculator at the top of this page, but PokerStove has more features and is far more flexible by allowing you to put hand ranges into the calculation. Every online poker player should have this handy little program on their computer.
Buy a more advanced calculator to help you whilst you play.
The odds calculator on this page and PokerStove are great for working out odds whilst you are off the tables, but they are not effective for when you are in the middle of a cash game or tournament.
Instead, have a think about buying one of the more advanced popular in-game odds calculators that give you the odds in each hand as well as advice on how to play as you go along. They are perfectly legal and can really help you build a solid game as you are starting out. Look in the poker software section for more details information.
Texas Calculatem.
This is this most popular in-game odds calculator around. Texas Calculatem has been the most popular odds calculator software for beginner players for a great number of years now.
It does its job very well and is competitively priced. It's good value for money, and it is ideal for beginner Texas Hold'em players. There is also the option of getting the calculator for free by signing up to a poker room from their site.
Pokerbility.
Poker Odds Calculator Heads Ups
Pokerbility attaches to the side of the game window and gives the odds in each hand as you go along. It pretty much does the same job as the Texas Calculatem, but it's a little more expensive.
However, there are number of options on the site that allow you to get the calculator for free by signing up to one of the poker rooms from their site.
Which one is best?
Poker Odds Calculator Heads Up Poker
I would go for the Texas Calculatem odds calculator. I find it easier to use and it is less expensive than the Pokerbility one. Pokerbility is very good, but I feel that Calculatem does a slightly better job at a better price.
Poker Odds Calculator Heads Up Racing
Go back to the handy Texas Hold'em tools.