(a) He selects one of the coins at random; when he flips it, it shows heads. What is the probability that it is a fair coin? (b) Suppose that he flips the same coin a second time and, again, it shows heads. Now what is the probability that it is the fair coin? (c) Suppose that he flips the same coin a third time and it shows tails. Now what is the probability that it is the fair coin?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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2. A gambler has a fair coin and a two-headed coin in his pocket.
(a) He selects one of the coins at random; when he flips it, it shows heads. What is the probability that it is
a fair coin?
(b) Suppose that he flips the same coin a second time and, again, it shows heads. Now what is the probability
that it is the fair coin?
(c) Suppose that he flips the same coin a third time and it shows tails. Now what is the probability that it
is the fair coin?
Transcribed Image Text:2. A gambler has a fair coin and a two-headed coin in his pocket. (a) He selects one of the coins at random; when he flips it, it shows heads. What is the probability that it is a fair coin? (b) Suppose that he flips the same coin a second time and, again, it shows heads. Now what is the probability that it is the fair coin? (c) Suppose that he flips the same coin a third time and it shows tails. Now what is the probability that it is the fair coin?
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