calculating probabilities of poker hands

The next chart shows you all possible Ax starting hands. Probability of facing a better A when you have an Ax hand Probability of facing more than one higher pocket pair (in %) These values show how likely you are to be behind against more than one opponent before the flop when you have a pocket pair. Probability of facing more than one higher pocket pair when you have a pocket pair Probability of facing a higher pocket pair (in %) The first chart shows the probability of exactly one opponent having a higher pocket pair. The following two charts show you how likely you are to be behind with a given pocket pair. Probability of facing a higher pocket pair when you have a pocket pair Knowing these values can be very helpful when estimating the strength of your starting hand. The following chart tells you exactly how likely you are to be dealt a given starting hand. Probability of being dealt a given starting hand

You can see the calculations used to arrive at these results on the second page of this article. In the following sections you will get an overview of many useful probabilities that will help you improve your game. Probability can also be given as odds, which tells how often one event will occur in relation to the number of times another event will take place (1:2). Probabilities are always a number between 0 and 1 and are usually expressed as a percentage. Combinatorics (card combinations), statistics (sample size) and other subdisciplines are all a part of stochastics. Stochatics deals with frequence-based probabilities. The classic definition is: 'The probability of an event is the ratio of the number of cases favorable to it, to the number of all cases possible when nothing leads us to expect that any one of these cases should occur more than any other, which renders them, for us, equally possible.' The probability of flipping heads in a coin toss is therefore 1 to 2, or 50%.įor poker players, stochastics is the most interesting part of studying probability. Probability means the degree of certainty that a possible event will occur. This article discusses all the important, and interesting, probabilities that you should be aware of.

Probabilities in Texas Hold'em IntroductionĪn understanding of basic probabilities will give your poker game a stronger foundation, for all game types.

Calculating probabilities of poker hands