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statistics help for students?

Asked Nov 26, 2011, 10:01 AM — 1 Answer
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) = 0.7, 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.)

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Kukunamun's Avatar
Kukunamun Posts: 3, Reputation: 5
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#2

Nov 28, 2011, 08:37 AM
(a) 0.7333....

(b) 6.5

(c) 3.5

(d) 0.6333.... or 0.3333.... (and theres way more)
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