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) = 0.4
P (A beats C) = 0.3
P (B beats C) = 0.7
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? (Hint: There are two different ways for this to happen.)
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Home » Mathematics » 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) = 0.4 P (A beats C) = 0.3 P (B beats C) = 0.