03-24-07, LearnTexasHoldem:

Texas Hold'em Hand Odds And Probabilities

Odds are an important part of Texas Holdem. If you don't know how to calculate hand odds, poker odds and pot odds you will have a hard time playing your Texas Holdem hands correctly in difficult situations. Although many successful poker players claim to play by "feel," a solid grounding in math is vital for successful poker play.

  • The importance of odds in Texas Holdem

    Texas Hold'em, like all other forms of gambling, is based on odds.

    The likelihood of something happening vs. how much you get paid if it does happen is the basis for all gambling propositions. This likelihood is referred to as odds, and it will be very difficult for you to bet or call bets correctly if you do not understand Texas Hold'em odds.

    What are the chances of hitting a flush draw? What are the chances of your pocket pair improving to a set on the flop. You will find the answers to these questions, and many more, on this page.

    It's difficult to memorize all this information, but you should at least have a basic understanding of the texas holdem probabilities if you want to become a winning Texas Holdem player.

    Today, there are several odd-calculation tools available online. If you're struggling with odds calculation, they are perfect to use while playing. The best tools are compatible with Party Poker and most other major poker sites.

  • How to calculate Texas Holdem odds

    As mentioned above, all gambling is based on odds. If the odds of a horse winning a race are 10-to-1 against, you win ten times your bet if the horse you're betting on wins the race. If the horse wins just once for every ten times it loses, you break even. If it wins more often you should win and if it wins less often you come out behind.

    In most bets, like a horse race, you do not get the opportunity for repeated trials, so you either have to be lucky enough to have placed your bet the one time out of eleven that the horse wins, or you need to continually make bets where the odds of hitting are shorter than the odds you are getting paid off at.

  • Pot Odds in Texas Hold'em

    Pot odds in Texas Hold'em work exactly the same way.

    If the bet is $1 to you and there is $5 in the pot, you are getting 5-to-1 pot odds.


    Just as in the horse race, you need to win that pot once for every five times you lose it to break even. If you'll win the pot more often, you have positive expected value or +EV. If you'll win it less often, you have a negative expected value play (-EV).

  • Calculating Pot Odds in Poker

    Usually, the bet will be more than $1 to you. Simply reduce the ratio by dividing the size of the pot by the size of the bet to you.

    For example if there is a $10 bet to you and you have a chance to win a $50 pot, divide 50 by 10 to reach 5-to-1 pot odds. If the pot is $97 and the bet is $25 to you, you are getting about 4-to-1.

    These calculations do not need to be exact (it's 3.88-to-1 exactly, but this precision is not worth the distraction during an in-game situation).

  • Using Pot Odds in Poker Games

    Once you know how to calculate pot odds, you'll know whether you should call a bet by knowing your odds of winning the hand, also known as poker odds. This can be established by calculating the ratio of cards remaining to cards that will give you the win.

    Poker odds most often come into play when you are on a drawing hand. You'll want to know if the odds the pot is offering you are better than your actual odds of hitting your hand.

    To calculate your odds of making your hand, simply count the number of cards that you can consider to be "outs," cards that will complete your hand, and compare them to the number of cards that remain.

    For example, let's say you hold AK on a board of 3 9 5 8 and you are convinced your opponent has top pair.

    This means that any ace or king should give you the pot. This gives you six outs, for the three remaining aces and three remaining kings. Since you know your two cards and the four on the board, there are 46 cards you have not seen, 52 minus six. Out of those 46, six give you the win and 40 do not. This is an odds ratio of 40-to-6, which reduces to about 6.5-to-1. This means you need better than 6.5-to-1 pot odds to continue.

    Although these are rough calculations, they still may be difficult to make in a game. For this reason, you should have certain poker odds committed to memory. The most important ones are as follows:

    • Your odds of flopping a set from a pocket pair are about 8-to-1.

    • Your odds of making a flush on the next card if you flop a four flush are about 4-to-1, if you get to see both cards it is closer to 2-to-1.

    • Your odds of making a straight on the next card if you are open-ended are around 5-to-1.

    • If you have four outs with one card to come you are roughly 11-to-1, two outs and you are around 22-to-1, one out and you are 45-to-1. (That one is easy. There are 46 cards in the deck and only one of them helps you, the other 45 do not.)

    In a no limit game, you'll also know how much to bet so that opponents aren't getting the right odds to call to try to hit a draw (a pot-sized bet or greater will usually do the trick if you're not sure).

 

Enough talking! Take me to a poker room now!

 

Texas Holdem odds chart

 

Probability Percentage Probability / Odds Against
Pair preflop 6 1 in 17 - 16:1
Suited cards preflop 24 1 in 4.2 - 3.2:1
Suited Connectors (2/3, KQ, ...) 4 1 in 25 - 24:1
AA or KK preflop .9 1 in 111 - 110:1
AK preflop 1.2 1 in 83 - 82:1
AKs preflop .3 1 in 332 - 331:1
A in hand preflop 16 1 in 6.25 - 5.25:1
AA, KK, QQ, JJ 1.8 1 in 56 - 55:1
Flop being all one kind (JJJ or QQQ) .24 1 in 425 - 424:1
AA versus KK preflop (heads up) .004 1 in 22560 - 22559:1
AK dealt preflop and hitting an A or K by the river 50 1 in 2 - even
QQ versus AK heads up till river 56 1 in 1.78 - 14:11 favorite
Two cards preflop that are Js or higher 9 1 in 11 - 10:1
Beer Hand (72off) preflop (or any other nonsuited two card combo) .9 1 in 110 - 109:1
Four flush completing (JsTs Flop Qs4sAd 6h Ks) 39 1 in 2.6 - 3:2
Open Ended Straight-Flush completing to flush or straight by river 54 1 in 1.85
Open Ended Straight completing (JT Flop Q94 86) 34 1 in 2.9 - ~2:1
Two Pair on flop Improving to Full House 17 1 in 5.8 - ~5:1
Three of a kind (set) on flop improving to Full House or Quads 37 1 in 2.7- ~3:2
Pocket pair improving to three of a kind on flop 12 1 in 8 - 7:1
No pair hand preflop improving to a pair on the flop (either card) 32 1 in 3.125 - ~2:1
If you have suited cards, two will flop 11 1 in 9 - 8:1
One pair on flop improving to two pair or three of a kind by river 22 1 in 4.7 - ~4:1
Pocket pair improving to three of a kind after flop 9 1 in 11 - 10:1
Two over cards improving to a pair by river 26 1 in 3.9 - ~3:1
Two over cards and a gutshot improving to pair or straight 43 1 in 2.3 - 4:3
Gutshot straight draw hitting by river 17 1 in 6 - 5:1
Gutshot and pair improving to two pair or better 39 1 in 2.6 - 3:2
Backdoor Flush hitting (5s6s Flop 7sAh9c KsJs) 4 1 in 24 - 23:1
Runner Runner Straight (56 Flop 3TQ 47) 1.5 1 in 68 - 67:1
Backdoor Flush and One Over Card improving to that pair or flush 17 1 in 6 - 5:1
Catching Ace on turn or river (A4 Flop Q63 KA) 13 1 in 8 - 7:1
Backdoor Flush and Gutshot improving to one by river (Ac4c Flop 3s5cKs) 21 1 in 4.8 - 3.8:1
Backdoor Flush And Two Over Cards improving to pair or flush 30 1 in 3.3 - 2.3:1
5 players on flop, that someone has an A when one is on board 58 1 in 1.7
4 players on flop, that someone has an A when one is on board 47 1 in 2.1
3 players on flop, that someone has an A when one is on board 35 1 in 2.9
2 players on flop, that someone has an A when one is on board 23 1 in 4.3
3 of one suit on board and another coming (QsTs2s) if you have one 39 1 in 2.6 - 3:2
5 players in with board paired, chance of one of them having it 43 1 in 2.4
4 players in with board paired, chance of one of them having it 34 1 in 3
3 players in with board paired, chance of one of them having it 26 1 in 4
2 players in with board paired, chance of one of them having it 17 1 in 5.8