Concept explainers
Basketball The same player from Exercise 87 is now shooting two free throws (that is, she gets to shoot a second free throw whether she makes or misses the first shot) Assume her free-throwing percentage is still 60%. Find the probability she scores 0 points, 1 point, or 2 points. Source: The Mathematics Teacher.
87. Basketball 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 tree 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: The Mathematics Teacher.
- (a) If her free-throwing percentage for this season is 60%, calculate the probability that she scores 0 points, 1 point, or 2 points.
- (b) Determine the free-throwing percentage necessary for the probability of scoring 0 points to be the same as the probability of scoring 2 points .* (Hint: Let p be the free-throwing percentage, and then solve p2 = 1 − p for p. Use only the positive value of p.)
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Finite Mathematics and Calculus with Applications (10th Edition)
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