(d) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.) 0.192

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please do D

Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that
Р(A beats B) 3D 0.6
Р(A beats C) %3D 0.2
Р(В beats C) 3D 0.4
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?
0.048
(b) What is the probability that A wins both her matches?
0.12
(c) What is the probability that A loses both her matches?
0.32
(d) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.)
0.192
Transcribed Image Text:Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that Р(A beats B) 3D 0.6 Р(A beats C) %3D 0.2 Р(В beats C) 3D 0.4 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? 0.048 (b) What is the probability that A wins both her matches? 0.12 (c) What is the probability that A loses both her matches? 0.32 (d) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.) 0.192
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