If a couple plans to have 7children, what is the probability that there will be

Question

If a couple plans to have 7children, what is the probability that there will be at least one girl girl? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one girl girl in 7 children?

Can the couple be very confident that they will have at least one lgirl?

A.Yes because the probability is close to 1.

B.No because the probability is close to 0.

C.No because the probability is close to 1.

D.Yes because the probability is close to 0.

Explanation / Answer

Probability of a girl :p = 1/2

Probbility of a not a girl(boy) = 1-1/2 = 1/2= 0.5

Probability of atleast one girl in 7 children = 1- Probability of no girl in 7 children

Probability of no girl in 7 children = 0.5 x 0.5 x 0.5 x0.5x 0.5x0.5 = 0.007813

Probability of atleast one girl in 7 children = 1-0.007813=0.992188

Probability is close to 1

Can the couple be very confident that they will have at least one lgirl?

Ans : A.Yes because the probability is close to 1.

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