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In Pamplona, Spain, a tombola organizes different raffles during the festivals. In each raffle, only 2 tickets out of n win a prize. The tickets

In Pamplona, Spain, a tombola organizes different raffles during the festivals. In each raffle, only 2 tickets out of n win a prize. The tickets are sold consecutively, and the prize is immediately announced when one person wins. Two friends have decided to take part in one of the raffles in the following way: One of them buys the first ticket on sale, and the other one buys the first ticket after the first prize has been announced. Derive the probability that each of them wins a prize. If there are m raffles during the night in which the two friends participate, what is the probability that each of them wins more than one prize?


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