Adeck of 52 cards has 4 aces. assume you give 13 cards to each of the 4 players. what is the probability that each player gets exactly one ace

Each player gets 13 cards. Total number of ways to get 13 cards by each player is .

In a draw of 13 cards from a deck having 4 aces and 48 non-aces, player 1 must get exactly 1 ace, the number of ways to do this is . Now to player 2 we deal 13 cards from a deck having 3 aces and 36 non-aces, and player 2 must get exactly 1 ace and ways to do this are . Then we deal 13 cards to player 3 from a deck having 2 aces and 24 non-aces, and player 3 must get exactly 1 ace with number of ways to do this . If players 1-3 each have exactly 1 ace we are done: player 4 will also get one ace. Use the product rule to calculate total number of ways: .

The probability is .

idk

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