Which is the number of possible combinations of choosing 4 cards from a deck of 52 playing cards. Alternatively, the number of possible starting hands is represented as the binomial coefficient ) which gives 52 × 51 × 50 × 49 ÷ 24 = 270,725 possible starting hand combinations. There are 4! = 24 ways to order the four cards (ABCD, ABDC, ACBD, ACDB. The first card can be any one of 52 playing cards in the deck the second card can be any one of the 51 remaining cards the third and fourth any of the 50 and 49 remaining cards, respectively. In Omaha, a player is dealt four down (or hole) cards. The probability of being dealt various starting hands can be explicitly calculated. This article uses both of these approaches, but relies primarily on enumeration.

Often, the key to determining probability is selecting the best approach for a given problem. Use conditional probabilities, or in more complex situations, a decision graph.Determine the number of outcomes that satisfy the condition being evaluated and divide this by the total number of possible outcomes.When calculating probabilities for a card game such as Omaha, there are two basic approaches. In poker, the probability of many events can be determined by direct calculation.

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