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Q. Given 25 different type of coupons, one coupon is obtained each time. one set obtain...

Q. Given 25 different type of coupons, one coupon is obtained each time. one set obtain 10 coupon. The probability that the type i coupon is not in the set is 24C10/25C10. Is it right? (24C10 => combination) If wrong, please tell me the answer.

(i is range 1~25. coupon type index)

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Answer #1

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Yes, it is correct.

We are talking of a particular coupon i

We choose a set of 10 coupons.

The 24 coupons ( without this coupon i) will not have coupon i , Out of the total 25

So, P(you will not get Coupon i from 10)

= 24C10 / 25C10

= 0.60

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