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
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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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.)
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