Whenever horses a, b, c race together, their respective probabilities of winning are 0.3, 0.5, 0.2. They race three times. (a) Find the probability that the same horse wins all three races. (b) Find the probability that a, b, c each wins one race.
Whenever horses a, b, c race together, their respective probabilities of winning are 0.3, 0.5, 0.2. They race three times. (a) Find the probability that the same horse wins all three races. (b) Find the probability that a, b, c each wins one race.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(a) Find the probability that the same horse wins all three races.
(b) Find the probability that a, b, c each wins one race."
Transcribed Image Text:4.81. Whenever horses a, b, c race together, their respective probabilities of winning are 0.3, 0.5, 0.2. They race three times.
(a) Find the probability that the same horse wins all three races.
(b) Find the probability that a, b, c each wins one race.
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