1. 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) = 0.8 P(A beats C) = 0.2 P(B beats C) = 0.4 and that...

1. 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) = 0.8

P(A beats C) = 0.2

P(B beats C) = 0.4

and that the outcomes of the three matches are independent of one another.

(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.)

Jun 05, 2022

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