52. 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 *p_i*, *i* = 1, ..., *m*. Suppose that you have just collected your *n*th coupon. What is the probability that it is a new type?

HINT: Condition on the type of this coupon.