A player of a video game is confronted with a series of 3 opponents and a(n) 70% 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). 10 Round your answers to 4 decimal places. (a) What is the probability that a player defeats all 3 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 2 times, what is the probability that the player defeats all 3 opponents at least once?

A player of a video game is confronted with a series of 3 opponents and a(n) 70% 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). 10 Round your answers to 4 decimal places. (a) What is the probability that a player defeats all 3 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 2 times, what is the probability that the player defeats all 3 opponents at least once?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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