Question 4 Bobby is playing in the final of a chess tournament. The first game has a 50% chance of ending in a draw and Bobby has a 30% chance of winning. If the first game is a draw, he plays a second and now has a 45% chance of winning and 25% chance of losing. If he wins at any point or if the second game is drawn, Bobby wins the tournament. Given that Bobby wins the tournament, what is the probability that he didn't win a game in the final? -D 7. L

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Question 4
Bobby is playing in the final of a chess tournament. The first game has a 50% chance of
ending in a draw and Bobby has a 30% chance of winning. If the first game is a draw, he
plays a second and now has a 45% chance of winning and 25% chance of losing. If he wins at
any point or if the second game is drawn, Bobby wins the tournament. Given that Bobby wins
the tournament, what is the probability that he didn't win a game in the final?
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-W
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-D
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Transcribed Image Text:Question 4 Bobby is playing in the final of a chess tournament. The first game has a 50% chance of ending in a draw and Bobby has a 30% chance of winning. If the first game is a draw, he plays a second and now has a 45% chance of winning and 25% chance of losing. If he wins at any point or if the second game is drawn, Bobby wins the tournament. Given that Bobby wins the tournament, what is the probability that he didn't win a game in the final? << W -W -D -D L L
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