Suppose that you continually collect coupons and that there are m different types. Suppose also that each

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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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