SOLUTION: A couple plans to have four children assuming the boys and girls are equally likely find a property at the couple we have at least one boy

Question 1156415: A couple plans to have four children assuming the boys and girls are equally likely find a property at the couple we have at least one boy
Found 2 solutions by Boreal, Theo:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
At least one boy is 1-probability (0 boys)=1-(1/16)=(15/16)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the probability that it's a boy is .5
the probability that it's a girl is .5
the probability that, out of 4 children, at least one of them will be a boy is equal to 1 minus the probability that none of them will be boys.
since the probability that it's a boy is .5, then the probability that it's not a boy is also .5.
the the probability of 0 boys of of 4 is .5 * .5 * .5 * .5 = .0625.
1 - .0625 = .9375.
that's the probability that at least one of them will be a boy.
if you look at the al the probabilities, you will get a chart such as the one shown below.

the total probability is equal to 1 as it should be.

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