Suppose that you continually collect coupons and that

Chapter 3, Problem 56P

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QUESTION:

Problem 56P

Suppose that you continually collect coupons and that there are m different types. Suppose also that each time a new coupon is obtained, it is a type i coupon with probability pi, i = 1, ..., m.Suppose that you have just collected your nth coupon. What is the probability that it is a new type?

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QUESTION:

Problem 56P

Suppose that you continually collect coupons and that there are m different types. Suppose also that each time a new coupon is obtained, it is a type i coupon with probability pi, i = 1, ..., m.Suppose that you have just collected your nth coupon. What is the probability that it is a new type?

ANSWER:

Step 1 of 2

If we collect the coupons continually and that there are m different types and each time a new coupon is obtained, it is a type i coupon with probability , i = 1, 2,...,m.

If we just collected the nth coupon, then the claim is to find the probability that it is a new type.

 

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