# Texas Hold’em Hand Odds

January 12, 2009

While playing the ever popular Texas Hold’em, a little work with numbers is unavoidable. The game of Texas Hold ‘em encompasses a fairly sizable amount of knowledge of probabilities and hand odds. Fortunately, calculating your Texas Hold’em hand odds is quite simple once you reach a fundamental understanding of the basics.

**Texas Hold’em Hand Odds – A Definition**

Texas Hold’em hand odds are your chances of making the hand you need to win a hand. For instance, if you’re holding two hearts and the flop is showing two other hearts, your Texas Hold’em hand odds of making a flush are about two to one. When you translate this to simple English, it means that you will get the flush once for every three times that you play your hand. On the other hand, if your Texas Hold’em hand odds is three to one, it means that out of a total of four times, you will make your hand one time.

**Calculating your Texas Hold’em Hand Odds**

There is one thing you need to consider when you calculate your Texas Hold’em hand odds: your outs. Outs are the cards left in the deck that will complete or give you the best hand.

For instance, if you are holding an Ace and a King of spades and the flop shows two more spades: since there are thirteen cards of each suit, this leaves you with nine more spades in the deck. Therefore, you have nine outs to complete your flush and, possibly, win the hand.

Once you know how to calculate your outs properly, you can start calculating your Texas Hold’em hand odds. Texas Hold’em odds can be easily calculated for every single hand. For instance, before flipping over the last card – the river, you get your Texas Hold’em hand odds by dividing your total outs by the remaining cards. However, at the flop, calculating your Texas Hold’em hands odds can get a bit more complicated.

Your Texas Hold’em hand odds from the flop to the river are calculated by using the following factors: the remaining number of cards (47), number of outs, and the percentage of making that hand.

The Texas Hold’em hand odds percentage formula looks like this: 1 – {(47 – Outs] / 47) ([46 – Outs] / 46)}. Once you get your percentage, you can use this formula to get your Texas Hold’em hand odds: (1 / Percentage) – 1.

There is also a shorter way of calculating your Texas Hold’em hand odds. Before the flop, get your number of outs and multiply it by 4 to get your Texas Hold’em hand odds percentage. To get your Texas Hold’em hand odds for the turn, multiply your number of outs by two.

Let’s say, for example’s sake, you are holding an Ace and a Jack of spades. The flop shows you 5 of clubs, as well as a Ten and a King of diamonds. Your outs for getting a Queen are four, you have three outs for aces. Your total number of outs right now are seven. You know, however, that your opponent is on a flush draw. Therefore, you subtract two from your outs, because either a Queen or Ace of diamonds would complete his flush. You now have a total of five outs.

Your percentage for a straight draw is five outs divided by four; therefore, 20% would be your Texas Hold’em hand odds percentage. This means that you have a 20% chance of catching the card you need to win the hand. Divide 100 by 20 and you get five minus one. Your Texas Hold’em hand odds of drawing an Ace or a Queen are 4 to 1. This means that out of five times, roughly, you will make your hand once.

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