Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a free throw is 0.9, Beth 0.6, and Carolyn 0.3. Assume that all performances are independent. (a) If each of them attempts a free throw, what is the probability that nobody makes the shot? (b) If Anna attempts 10 free throws in a row, that is the probability that she makes at most 8 of the 10 shots? (c) If Beth decides that she won't take a break until she makes 10 free throws, what is the probability that she makes her 10th free throw on the 15th attempt?

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