Question: Consider again the box containing the five different coins described in Exercise 7. Suppose that one coin is selected at random from the box and

Consider again the box containing the five different coins described in Exercise 7. Suppose that one coin is selected at random from the box and is tossed repeatedly until a head is obtained.
a. If the first head is obtained on the fourth toss, what is the posterior probability that the ith coin was selected (i = 1, . . . , 5)?
b. If we continue to toss the same coin until another head is obtained, what is the probability that exactly three additional tosses will be required?

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