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Two players, A and B, partake in a modified game of Russian roulette. In this version of the game, player A first loads exactly one
Two players, A and B, partake in a modified game of Russian roulette. In this version of the game, player A first loads exactly one bullet into a 6-chamber revolver gun, spins the cylinder. and then points the gun at his mobile phone, and pulls the trigger. If the shot contains the bullet A loses the game. Otherwise, B takes the gun from A, spins the cylinder, points the gun at his mobile phone, and pulls the trigger. If the shot contains the bullet, then B loses the game. otherwise A takes the gun and repeats the entire process. The game ends when either A or B has lost the game. (i) Find, in terms of n, the probability that A destroys his phone on his nith shot. (ii) Find the probability that A loses the game. (iii) Find the probability that B loses the game. (iv) Find the expected number of shots required for the game to end
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