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How to Compute Probability for Poker Hands. In this lesson, we explain how to compute probabilities for every type of poker hand (e.g., full house, flush, staight) in stud poker. Stud Poker in a Nutshell. Five-card stud poker is a classic game of chance, in which each player is dealt five cards. The first card is dealt face down; the remaining cards, face up. And the player with the best five.

Three of a kind, also known as trips or a set, is a poker hand containing three cards of the same rank and two cards of two other ranks (the kickers), such as 2. There are 54,912 possible three of a kind hands and 858 distinct ranks of three of a kind when using a standard 52-card deck.

Example: A Poker Hand. The game of poker has many variants. Common to all is the fact that players get - one way or another - hands of five cards each. The hands are compared according to a predetermined ranking system. Below, we shall evaluate probabilities of several hand combinations. Poker uses the standard deck of 52 cards. There are C(52, 5) possible combinations of 5 cards selected from.

Possible hands from the highest payouts to the lowest:. Straight Flush is a hand that contains five cards in sequence, all of the same suit, for example: Nine, Eight, Seven, Six and Five, all Hearts. Four of a Kind is a hand that contains all four cards of one rank and any other card. For example, a four Aces in your hand would be Four of a Poker. Quads with higher ranking cards defeat lower.