12-57. A man has five coins, one of which has two heads. He randomly takes out a coin and tosses if three times. (i) What is the probability that it will fall head upward all the times ? (ii) If it always falls head upward, what is the probability that it is the coin with two heads ?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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12-57. A man has five coins, one of which has two heads. He randomly takes out a coin and
tosses if three times.
(i) What is the probability that it will fall head upward all the times ?
(ii) If it always falls head upward, what is the probability that it is the coin with two heads ?
m" mim m m
5 m" mmmm m m mm n S
Transcribed Image Text:12-57. A man has five coins, one of which has two heads. He randomly takes out a coin and tosses if three times. (i) What is the probability that it will fall head upward all the times ? (ii) If it always falls head upward, what is the probability that it is the coin with two heads ? m" mim m m 5 m" mmmm m m mm n S
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