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Each of the 2,598,960 possible hands of poker is equally likely when dealt 5 cards from a standard poker deck. Because of this, one can use probability by outcomes to compute the probabilities of each classification of poker hand. The binomial coefficient can be used to calculate certain combinations of cards.

Math of Poker - Basics | Brilliant Math & Science Wiki
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Who Wins if Both Players Have Two Pair in Poker? When multiple two pair hands go to showdown, the hand with the superior higher pair wins. For example, A&e A&f Q&` Q&e 4&` beats Q&` Q&e T&c 8&e 4&`. In the rare case that identical two pair hands go to battle, the player with the superior kicker wins.

Who Wins If Two Players Have the Same Hand in Poker?
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