Question

A player of a video game is confronted with a series of 4 opponents and a(n) 83% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends) Round your answers to 4 decimal places. (a) What is the probability that a player defeats all 4 opponents in a game? (b) What is the probability that a player defeats at least 2 opponents in a game? (c) If the game is played 3 times, what is the probability that the player defeats all 4 opponents at least once?

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х. 4- C^(0.83)11-0.83 , 0.0008十0.0163 10.9829 2 3-0 c0 (0-4746) lI.4744

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