Texas Hold ’em (also known as hold ’em or holdem) is a variation of the standard card game of poker. The game consists of two cards being dealt face down to each player and then five community cards being placed … Read More
Some outs for a hand require drawing an out on both the turn and the river—making two consecutive outs is called a runner-runner. Examples would be needing two cards to make a straight, flush, or three or four of a … Read More
The unseen cards principle states that to calculate the probability (from the point of view of a player about to act) that the next card dealt will be among a certain set, he must divide the number of cards in … Read More
During play—that is, from the flop and onwards—drawing probabilities come down to a question of outs. All situations which have the same number of outs have the same probability of winning. For example, an inside straight draw (e.g. 34 67 … Read More
It is useful to look at the chances different starting hands have of either improving on the flop, or of weakening on the flop. One interesting circumstance concerns pocket pairs. When holding a pocket pair, overcards (cards of higher rank … Read More
When evaluating a hand before the flop, it’s useful to have some idea of how likely the hand is dominated. A dominated hand is a hand that is beaten by another hand (the dominant hand) and is extremely unlikely to … Read More
When facing two opponents, for any given starting hand the number of possible combinations of hands the opponents can have is (50/2)(48/2) = 1,381800 hands. For calculating probabilities we can ignore the distinction between the two opponents holding A♠ J♥ … Read More
The probability of being dealt various starting hands can be explicitly calculated. In Texas Hold ’em, a player is dealt two down (or hole) cards. The first card can be any one of 52 playing cards in the deck and … Read More
In poker, the probability of many events can be determined by direct calculation. This article discusses how to compute the probabilities for many commonly occurring events in the game of Texas hold ’em and provides some probabilities and odds[1] for … Read More
