Coach Williams has three players for the striker position for his soccer team.  He chooses Alex (A) 50% of the time while he chooses Bart (B) and Carlos (C) 25% of the time each.  When Alex is playing, he scores 70% of the time.  Bart scores 25% of the times and Carlos scores 25% of the time.  Make a probability tree diagram and then determine the probability that the coach chooses Bart, but Bart does not score in the game.  Explain how you determined your answer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Coach Williams has three players for the striker position for his soccer team.  He chooses Alex (A) 50% of the time while he chooses Bart (B) and Carlos (C) 25% of the time each.  When Alex is playing, he scores 70% of the time.  Bart scores 25% of the times and Carlos scores 25% of the time.  Make a probability tree diagram and then determine the probability that the coach chooses Bart, but Bart does not score in the game.  Explain how you determined your answer.

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