X Question 16 player of a video game is confronted with a series of 3 opponents and a(n) 70% probability of defeating each opponent. Assume that he results from opponents are independent (and that when the player is defeated by an opponent the game ends). tound your answers to 4 decimal places. a) What is the probability that a player defeats all 3 opponents in a game? 0.3430 b) What is the probability that a player defeats at least 2 opponents in a game? 0.7840 :) If the game is played 2 times, what is the probability that the player defeats all 3 opponents at least once? 0.5683

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 10ECP: In Example 10, researchers selected five people at random from the population. What is the...
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Question 16
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).
Round your answers to 4 decimal places.
(a) What is the probability that a player defeats all 3 opponents in a game? 0.3430
(b) What is the probability that a player defeats at least 2 opponents in a game? 0.7840
(C) If the game is played 2 times, what is the probability that the player defeats all 3 opponents at least once? 0.5683
Transcribed Image Text:Question 16 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). Round your answers to 4 decimal places. (a) What is the probability that a player defeats all 3 opponents in a game? 0.3430 (b) What is the probability that a player defeats at least 2 opponents in a game? 0.7840 (C) If the game is played 2 times, what is the probability that the player defeats all 3 opponents at least once? 0.5683
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