A player of a video game is confronted with a series of 4 opponents and a(n) 70% probability of defeating each opponent. Assume that results from opponents are independent (and that when the player is defeated by an opponent the game ends). the Round your answers to 4 decimal places. (a) What is the probability that a player defeats all 4 opponents in a game? 0.2401 (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? i

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A player of a video game is confronted with a series of 4 opponents and a(n) 70% probability of defeating each opponent. Assume that
results from opponents are independent (and that when the player is defeated by an opponent the game ends).
the
Round your answers to 4 decimal places.
(a) What is the probability that a player defeats all 4 opponents in a game?
0.2401
(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?
i
Transcribed Image Text:A player of a video game is confronted with a series of 4 opponents and a(n) 70% probability of defeating each opponent. Assume that results from opponents are independent (and that when the player is defeated by an opponent the game ends). the Round your answers to 4 decimal places. (a) What is the probability that a player defeats all 4 opponents in a game? 0.2401 (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? i
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