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 Coach Mike made the lineup but you are not playing point guard. Explain how you determined your answer.

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 Coach Mike made the lineup but you are not playing point guard. Explain how you determined your answer.