MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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I need help with A, B, C.

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) = 0.2
P(A beats C) = 0.4
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? and  What is the probability that A wins both her matches?

(b) What is the probability that A loses both her matches?

(c) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.)

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