# Question

Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that P(A beats B) = .7, P(A beats C) = .8, and P(B beats C) = .6 and that the outcomes of the three matches are independent of one another.

a. What is the probability that A wins both her matches and that B beats C?

b. What is the probability that A wins both her matches?

c. What is the probability that A loses both her matches?

d. What is the probability that each person wins one match?

a. What is the probability that A wins both her matches and that B beats C?

b. What is the probability that A wins both her matches?

c. What is the probability that A loses both her matches?

d. What is the probability that each person wins one match?

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