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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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