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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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.
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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