A family has 6 children. Find the probability that there are more girls than boys. Assume that the probabilities of girls and boys being born is equal. Solution P(all 6 girls ) = (1/2)^6 P(5 girls 1 boy) = 6C5x(1/2)^5 x1/2 P(4 girls 2 boy) = 6C4x(1/2)^4 x 1/2^2 P = total = 11/32 = 0.34375.