# Texas Hold'em Poker Odds Calculator

These hand odds of winning presume that there is no possible flush on the board, and that you're drawing to the best hand. Pot odds are simply the ratio of the amount of money in the pot to how much money it costs to call. Of course, the purists out there will still want to do mental gymnastics to get the exact percentage figure, but for the rest of us mere poker mortals the rule of 4 and 2 is more than enough to give reasonable percentages. Now you need to know what pot odds you are getting and can easily make the right decision knowing if calling is profitable or not. The best is A-A and the worst is either or unsuited. I will give you an example so you could see it in practice:. However, in most situations you do not know what your opponents hold, so you can only calculate odds with the knowledge that is available to you.

## Poker Odds FAQ

If a player has two small pairs, and he believes that it will be necessary for him to make a full house to win, then he has four outs: One's number of outs is often used to describe a drawing hand: The number of outs can be converted to the probability of making the hand on the next card by dividing the number of outs by the number of unseen cards.

For example, say a Texas Holdem player holds two spades, and two more appear in the flop. He has seen five cards regardless of the number of players, as there are no upcards in Holdem except the board , of which four are spades. Calculating the combined odds of filling on either the turn or river is more complicated: A common approximation used is to double the number of outs and add one for the percentage to hit on the next card, or to multiply outs by four for the either-of-two case.

Note that the hidden cards of a player's opponents may affect the calculation of outs. For example, assume that a Texas hold 'em board looks like this after the third round: For all of you aspiring poker players learning here at PokerStars School, this is a story that should If you have forgotten your PokerStars School password you can reset it by following these steps here:. Note that your PokerStars School password must be at least 8 characters long and begin with a number We have placed cookies on your computer to improve your experience on our website.

Otherwise, we'll assume you're OK to continue. One of the most outdated perceptions of poker is that it is played by shady characters with strange psychic powers, who read opponents' minds by staring deep into their eyes. These days poker - especially online - relies more on very solid understanding of the mechanics of the game, combined often with a thorough working knowledge of mathematics.

It is a far less mysterious business. There is no doubt that the very best poker players have actually taken matters even further into the mathematical realm. Some players analyse hands incredibly closely and make numerous in depth mathematical calculations to determine how they will play.

But not everyone needs to approach the game like that, particularly not beginners. As the many PokerStars School courses progress, some of the mathematical aspects of the game will become more prominent. But at this stage, it is only really necessary to have a general idea of some of the core concepts.

We have already seen how the relative strength of a poker hand can increase or decrease as flop, turn and river is dealt. Although in some circumstances your ace high might be winning already, you do not actually have a very strong hand.

Not yet, at least. However if another heart appears on the turn or river, you make a flush, and unless another player has a full house or better, you will win the hand. Of course, the purists out there will still want to do mental gymnastics to get the exact percentage figure, but for the rest of us mere poker mortals the rule of 4 and 2 is more than enough to give reasonable percentages.

When preparing these we have not included any odds that incorporate there being two cards to come i. Instead, all these poker odds assume that you're on the turn and want to see a river. So, without further ado:. For example, an on an A board. You have 8 outs: These hand odds of winning presume that there is no possible flush on the board, and that you're drawing to the best hand.

Be aware that if you have on a AK board, the tens may not be outs for you, as they could possibly make someone who has QJ a bigger straight. If your hole cards are suited, and there are two more of your suit on the board, you can most often treat any flush as the nuts since it's very rare that you will be up against another person with two hole cards of your suit. If you are drawing to a four flush on the board, however, you should be extremely careful if you do not have the ace.

Poker players like drawing to flushes, and also like playing aces - these two facts combined make your odds of winning a lot lower if you chase anything but the nut flush. Again, I'm assuming that you're drawing to the nuts, e. Any of the four sixes will give you the nuts. Unless you use both your hole cards to make the straight, however, you will not be drawing to the nuts. If the board is A and you have , any 8 will give you a straight, but it's not the nut straight; someone with T-7 will have the nuts.

If you have J-T on a board of A-J, and you strongly suspect that you're up against someone with a pair of aces, you have five outs to beat him: Your odds here are based on the assumption that your opponent does not have AJ or AT! This is a dangerous assumption to make, and you should realistically have better odds than 8: Now we've really entered a dangerous assumption.

If you have KQ on a board of J, and you think your opponent has made a pair of eights, but without a queen or a king kicker, you have six outs any queen or king will make you a better pair. The odds of 6. It will often be the case that you're wrong, so be very careful with this situation. If you're holding on a A-K board, and your only saving grace is a third 7.

This is a really far fetched draw, and our only reason for including it is to show just how far fetched it is. We have almost never seen a pot big enough to warrant drawing to a set. Fold in all but the most extreme pot sizes. This is the generic formula. If you have a draw other than the ones we've listed above, and want to figure out your odds for it, this is the way.

Count the number of outs you have and then subtract this number from Divide the result by the number of outs, and voila - you have your odds. For example, if I'm drawing both to a set and to a flush, e. I have reason to believe my opponent has two pair, and I have AA, with four to a flush, my outs are any ace giving me a set plus 9 flush cards giving me a flush , totaling 11 outs.

Don't forget that you can always use our poker cheat sheet and poker odds calculator , especially when reviewing your poker hands and studying. There are many ways to calculate different kinds of poker odds. You could, for example, use a poker cheat sheet. You can also use a poker chart as a guide. Other odds calculations require more effort and practice. It's best to routinely use an odds calculator to check what your odds were after the fact; you can then adjust your play based on this information in future, similar hands.

The rule of four and two is the easiest way to know roughly what your odds of winning the hand are. It's a simple process: For example, if you have a flush draw, there are nine cards you can hit to make a flush.

To know the odds of making your flush on the turn, simply multiply your outs by two and add two. To know the odds of making your flush on the river, multiply your outs by four and add four. The best way to calculate precise preflop odds is to use a dedicated odds calculator.

However, here are a few quick and dirty tricks to know rough odds on the go:. Pot Equity refers to your percentage chance of winning the pot. It is the amount that may belong to you depending on what cards you have. This could be at any stage of the game. Pot odds refers to the price of calling a bet relative to the size of the pot. It can be tricky to work out pot odds exactly, but estimating is usually fine. To calculate Pot odds, you'll first need to know your outs.

Outs are the cards that can improve your hand. There are many ways to calculate Pot Odds but here's a simple one. Rather than using a formula, poker players around the globe use the Rule of 2 and 4.