Dear experts,
5 boys and 3 girls are playing in a chess tournament. All boys have the same probability p of winning the tournament and all girls have the same probability q of winning. If p=2q, find the probability that.
i) a boy wins the tournament.
ii) a girl wins the tournament.

Selection of a boy can be done in C15 ways.Probability of winning a tournament for a boy is p.Selection of a girl can be done C13 ways.Probability  of winning a tournament for a girl is q.Sum of all the probabilities is 1.Therefore, C15×p+ C13×q=15p+3q=110q+3q=1       p=2q13q=1q=113p=213(a) The probability of winning a boy=213(b) The probability of winning a boy=113

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