A man possesses five coins, two of which are double-headed, one is double tailed, and two are normal fair coins. He shuts his eyes, picks a coin at random, and tosses it. (d) He opens his eyes and sees that the coin is showing heads. What is the probability that the lower face is a head? (e) He discards this coin, picks another one at random (but not the same coin), and tosses it. What is the probability that it shows heads?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 man possesses five coins, two of which are double-headed, one is
double tailed, and two are normal fair coins. He shuts his eyes, picks a
coin at random, and tosses it.
(d) He opens his eyes and sees that the coin is showing heads. What
is the probability that the lower face is a head?
(e) He discards this coin, picks another one at random (but not the
same coin), and tosses it. What is the probability that it shows
heads?
Transcribed Image Text:A man possesses five coins, two of which are double-headed, one is double tailed, and two are normal fair coins. He shuts his eyes, picks a coin at random, and tosses it. (d) He opens his eyes and sees that the coin is showing heads. What is the probability that the lower face is a head? (e) He discards this coin, picks another one at random (but not the same coin), and tosses it. What is the probability that it shows heads?
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