7. Call the four players A, B, C, and D. The number of ways of choosing the positions in the deck that 52 will be occupied by the four aces is 4 Since player A will receive 13 cards, the number of ways of choosing the positions in the deck for the four aces so that all of them will be received by player 13 A is 4. Similarly, since player B will receive 13 other cards, the number of ways of choosing the positions for the four aces so that all of them will be received by player B is A similar result is true for each of the other players. Therefore, the total number of ways of choosing the positions in the deck for the four aces so that all of them will be received by the same player is 4 . Thus, the final probability is
7. Call the four players A, B, C, and D. The number of ways of choosing the positions in the deck that 52 will be occupied by the four aces is 4 Since player A will receive 13 cards, the number of ways of choosing the positions in the deck for the four aces so that all of them will be received by player 13 A is 4. Similarly, since player B will receive 13 other cards, the number of ways of choosing the positions for the four aces so that all of them will be received by player B is A similar result is true for each of the other players. Therefore, the total number of ways of choosing the positions in the deck for the four aces so that all of them will be received by the same player is 4 . Thus, the final probability is
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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