Question

If a family has 5 children, find the probability that at least one child is boy. Can you explain how to solve for the answer?

Answer 1

n=5 let x be the probability that the child is a boy
p(x>=1)=[(1/5)(1-1/5)+(2/5)(1-2/5)+(3/5)(1-3/5)+(4/5)(1-4/5)+(5/5)(1-5/5)]
=0.52
that's the probability that the family might be having a boy child

Answer 2

Only way there can't be a boy is if there are all girls.

Chance of all girls is 1/32 so at least 1 boy is 1 - 1/32 =31/32 (I think)

Answer 3

do u mean the chance is approximately 97%?

Answer 4

Or 3% of them all being girls....