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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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