Find the probability of a couple having a baby girl when their sixth child is bo

Question

Find the probability of a couple having a baby girl when their sixth child is born, given that the first five children were all girls. Assume boys and girls are equally likely. Is the result the same as the probability of getting all girls among six children?

The probability is ___________ (Type an integer or a simplified fraction.)

Is this result the same as the probability of getting all girls among six children?

A.No. The second event involves more possible outcomes.

B.Yes. The events are all independent.

C.No. The two events are complements.

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

Explanation / Answer

The probability that a couple having a baby girl when their sixth child is? born, given that the first five children were all girls is:

P(X=6 girls)

=0.5^6

=0.0156

B.Yes. The events are all independent.

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