Find the probability of a couple having a baby boy when their third child is bor

Question

Find the probability of a couple having a baby

boy

when their

third

child is born, given that the first

two

children were

both boys.

Assume boys and girls are equally likely. Is the result the same as the probability of getting

all boys

among

three

children?

The probability is?

(Type an integer or a simplified fraction.)Is this result the same as the probability of getting

all boys

among

three

children?

A.

Yes. The final result in each case is the same.

B.

No. The two events are complements.

C.

Yes. The events are all independent.

D.

No. The second event involves more possible outcomes

Explanation / Answer

After the first 2 children are born, whatever their sex, the chance of having either a boy or a girl is 1/2 or %50. ( Independent event)

Prior to having any children the chance of having 3 children that are boys is 1/2 x 1/2 x 1/2 = 1/8 or %12.5 ( Dependent event)

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