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ம் Consider the following game played by players A and B with a deck of 2n cards numbered from 1 to 2n. The deck is randomly shuffled and n cards are dealt to each of two players. Beginning with A, the players take turns discarding one of the remaining cards of their choice and announcing its number. The game ends as soon as the sum of the numbers on the discarded cards is divisible by 2n + 1. The last person to discard wins the game. Assuming optimal strategy by both A and B, what is the probability that A wins?

ம் Consider the following game played by players A and B with a deck of 2n cards numbered from 1 to 2n. The deck is randomly shuffled and n cards are dealt to each of two players. Beginning with A, the players take turns discarding one of the remaining cards of their choice and announcing its number. The game ends as soon as the sum of the numbers on the discarded cards is divisible by 2n + 1. The last person to discard wins the game. Assuming optimal strategy by both A and B, what is the probability that A wins?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 1T: Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They...
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Consider the following game played by players A and B with a deck of 2n cards numbered from 1 to 2n. The deck is randomly shuffled and n cards are dealt to each of two players. Beginning with A, the players take turns discarding one of the remaining cards of their choice and announcing its number. The game ends as soon as the sum of the numbers on the djscarded cards is divisible by 2n + 1. The last person to discard wins the game. Assuming optimal strategy by both A and B, what is the probability that A wins? 5.
Transcribed Image Text:Consider the following game played by players A and B with a deck of 2n cards numbered from 1 to 2n. The deck is randomly shuffled and n cards are dealt to each of two players. Beginning with A, the players take turns discarding one of the remaining cards of their choice and announcing its number. The game ends as soon as the sum of the numbers on the djscarded cards is divisible by 2n + 1. The last person to discard wins the game. Assuming optimal strategy by both A and B, what is the probability that A wins? 5.
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