Answer with explanation

A tombola is a raffle in which prizes are assigned to winning tickets. In a particular tombola, only 2 tickets out of n win a prize. After the two winning tickets are sold, a new tombola is started. The tickets are sold consecutively, and the prize is immediately announced when one person wins. Two friends have decided to play tombola 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 tombolas during the night in which the two friends participate, what is the probability that each of them wins more than one prize?