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A player of a video game isconfronted with a series of 3 opponents and a 70% pro

ID: 2916390 • Letter: A

Question

A player of a video game isconfronted with a series of 3 opponents and a 70% probabilityof defeating each opponent. Assume that the results from opponentsare independent( and that when the player is defeated by anopponent the game ends). a) what is the probability that a player defeats at least twoopponents in a game? b)If the game is played 5 times, what is the probability thatthe player defeats all 3 opponents at least twice? A player of a video game isconfronted with a series of 3 opponents and a 70% probabilityof defeating each opponent. Assume that the results from opponentsare independent( and that when the player is defeated by anopponent the game ends). a) what is the probability that a player defeats at least twoopponents in a game? b)If the game is played 5 times, what is the probability thatthe player defeats all 3 opponents at least twice?

Explanation / Answer

a). This is the probability of beating both two opponents andbeating three opponents. So, find the probabilities of both ofthose and add them together. Two opponents = .70 * .70 * .30 = .147 Three opponents = .70 * .70 * .70 = .343 .147 + .343 = .49

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