Your basketball team has two coaches, Coach Mike and Coach Brian.  Coach Mike decides the lineup for 60% of the games, and Coach Brian decides the lineup for 40% of the time.  You love playing point guard.  You play point guard 55% of the time when Coach Mike makes the lineup, but you only play point guard 35% of the games with Coach Brian.  Make a probability tree diagram and then determine the probability that you will play point guard with either coach.  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
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Your basketball team has two coaches, Coach Mike and Coach Brian.  Coach Mike decides the lineup for 60% of the games, and Coach Brian decides the lineup for 40% of the time.  You love playing point guard.  You play point guard 55% of the time when Coach Mike makes the lineup, but you only play point guard 35% of the games with Coach Brian.  Make a probability tree diagram and then determine the probability that you will play point guard with either coach.  Explain how you determined your answer.

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