A basketball player is fouled and now faces a one-and-one free throw situation. She shoots the...

 

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A basketball player is fouled and now faces a one-and-one free throw situation. She shoots the first free throw. If she misses it, she scores 0 points. If she makes the first free throw, she gets to shoot a second free throw. If she misses the second free throw, she scores only one point for the first shot. If she makes the second free throw, she scores two points (one for each made shot). Source: Mathematics Teacher. a. If her free-throwing percentage for this season is 60%, calcu- late the probability that she scores 0 points, I point, or 2 points. b. Determine the free-throwing percentage necessary for the probability of scoring 0 points to be the same as the proba- bility of scoring 2 points. (Hint: Let p be the free-throwing percentage, and then solve p = 1- p for p. Use only the positive value of p.) A basketball player is fouled and now faces a one-and-one free throw situation. She shoots the first free throw. If she misses it, she scores 0 points. If she makes the first free throw, she gets to shoot a second free throw. If she misses the second free throw, she scores only one point for the first shot. If she makes the second free throw, she scores two points (one for each made shot). Source: Mathematics Teacher. a. If her free-throwing percentage for this season is 60%, calcu- late the probability that she scores 0 points, I point, or 2 points. b. Determine the free-throwing percentage necessary for the probability of scoring 0 points to be the same as the proba- bility of scoring 2 points. (Hint: Let p be the free-throwing percentage, and then solve p = 1- p for p. Use only the positive value of p.)