Four of a Kind Poker Probability

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In poker, four of a kind is a strong hand that consists of four cards of the same rank, such as four aces. The probability of being dealt four of a kind in a standard 5-card poker hand can be calculated using combinatorial mathematics. There are 13 possible ranks for the four cards, and for each rank, there are 48 possible fifth cards （since the deck has 52 cards）. The total number of ways to get four of a kind is 13 multiplied by 48, which equals 624. The total number of possible 5-card hands from a 52-card deck is 2,598,960. Therefore, the probability is 624 divided by 2,598,960, which simplifies to approximately 0.0240% or 1 in 4,165 hands. This makes four of a kind a very rare and powerful hand in poker games.