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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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17. Call the four players A, B, C, and D. The number of ways of choosing the positions in the deck that
52
Since player A will receive 13 cards, the number of ways
4
will be occupied by the four aces is
of choosing the positions in the deck for the four aces so that all of them will be received by player
A is
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
Transcribed Image Text:17. Call the four players A, B, C, and D. The number of ways of choosing the positions in the deck that 52 Since player A will receive 13 cards, the number of ways 4 will be occupied by the four aces is of choosing the positions in the deck for the four aces so that all of them will be received by player A is 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
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