In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coins with tails on both sides. A coin is randomly selected and flipped. (a)  If a head comes up, what is the probability that the selected coin is a special coin with heads on both sides? (b)  When the same coin is flipped again, if a head still comes up, what is the probability that the selected coin is a special coin with heads on both sides?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coins
with tails on both sides. A coin is randomly selected and flipped.
(a)  If a head comes up, what is the probability that the selected coin is a special
coin with heads on both sides?
(b)  When the same coin is flipped again, if a head still comes up, what is the
probability that the selected coin is a special coin with heads on both sides?

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