Three friends, A, B and C are in a paintball shootout. On each round, until one player remains standing, the current shooter can choose one of the other players as a target and is allowed one shot. At the start of the game, who goes first, second and third are chosen randomly. A player who gets hit is eliminated. A is a perfect shot, he eliminates his targets with 100% probability. B has 80% accuracy, and C has 50% accuracy. We also assume that players are not required to aim at an opponent, they can simply shoot in the air if they desire. Show that C is the one that is most likely to survive this shootout

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 11.22EP
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Three friends, A, B and C are in a paintball shootout. On each round, until one player remains standing, the current shooter can choose one of the other players as a target and is allowed one shot. At the start of the game, who goes first, second and third are chosen randomly. A player who gets hit is eliminated. A is a perfect shot, he eliminates his targets with 100% probability. B has 80% accuracy, and C has 50% accuracy. We also assume that players are not required to aim at an opponent, they can simply shoot in the air if they desire. Show that C is the one that is most likely to survive this shootout

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