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12. On your way to soccer practice, you are trying to determine the probability that you will be goalie. Coach Ryan runs practice 60% of the time. If he is there, you have a 50% chance of being goalie. Coach Alex runs practice 40% of the time. If he is there, you have a 30% chance of being goalie. a. Draw a tree diagram that represents the situation. Find the following probabilities. b. P(you will be goalie) c. P(you won't be goalie | Coach Alex is at practice)