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A player of a video game confronted with a series of four opponents and an %80 p

ID: 2955573 • Letter: A

Question

A player of a video game confronted with a series of four opponents and an %80 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).

a)what is the probability that a player defeats all four opponents in a game ?

b)what is the probability that a player defeats at least two opponents in a game ?

c) if the game is played three times, what is the probability that the player defeats all four opponents at least once?

Explanation / Answer

a) .8*.8*.8*.8 = 0.4096 b) 0.8*0.8 = 0.64

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