If a family has six children, is it more likely they will have three boys and...

If a family has six children, is it more likely they will have three boys and three girls, or four of one gender and two of the other? Assume each child is a boy or a girl with equal probability, independently of other children.

Expert Solution

P(Three boys and three girls)

= 0.3125

P(Four of one gender and two of other)

= P(Four boys; 2 girls) + P(4 Girls; 2 Boys)

= 0.46875

Hence,

Four of one gender and two of the other is more likely.

orchestra answered 2 years ago

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