(Answered) Question at a party a large barrel is filled with 99 gag

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Question: At a party a large barrel is filled with 99 gag gifts and 1 diamond ring, all enclosed in identical boxes. Each person at the party is given a chance to pick a box from the barrel, open the box to see if the diamond is inside, and if not, to close the box and return it to the barreL. What is the probability that at least 19 persons will choose gag gifts before the diamond ring is selected?

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