Question

Suppose we have ten coins which are such that if the $i$ th one is flipped then heads will appear with probability $i / 10, i=1,2, \ldots, 10$. When one of the coins is randomly selected and flipped, it shows heads. What is the conditional probability that it was the fifth coin?

          Suppose we have ten coins which are such that if the $i$ th one is flipped then heads will appear with probability $i / 10, i=1,2, \ldots, 10$. When one of the coins is randomly selected and flipped, it shows heads. What is the conditional probability that it was the fifth coin?

Added by Cesar R.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Madhur L

05/09/2023

Step 1

Since there are 10 coins, each coin has a 1/10 probability of being selected. Show more…

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Suppose we have ten coins which are such that if the $i$ th one is flipped then heads will appear with probability $i / 10, i=1,2, \ldots, 10$. When one of the coins is randomly selected and flipped, it shows heads. What is the conditional probability that it was the fifth coin?