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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

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A family has 6 children. Find the probability that there are more g.pdf

  • 1. 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