Suppose we have 10 coins such that it the ith coin is

Chapter 3, Problem 45P

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QUESTION:

Problem 45P

Suppose we have 10 coins such that it the ith coin is flipped, heads will appear with probability i/10, i = 1, 2, ..., 10. When one of the coins is randomly selected and flipped, it shows heads. What is the conditional probability that it was the fifth coin?

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QUESTION:

Problem 45P

Suppose we have 10 coins such that it the ith coin is flipped, heads will appear with probability i/10, i = 1, 2, ..., 10. When one of the coins is randomly selected and flipped, it shows heads. What is the conditional probability that it was the fifth coin?

ANSWER:

Step 1 of 2

We have 10 coins such that it the ith coin is flipped, heads will appear with probability , i=1, 2, …, 10.

One of the coins is randomly selected and flipped, it shows heads.

We have to find the conditional probability that it was the fifth coin.

 

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