Mathematics, 06.01.2021 18:00 munaizsiddiqui
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) = 0.5
P(A beats C) = 0.6
P(B beats C) = 0.9
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.)
Answers: 1
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