If a couple plans to have 8 children, what is the probability that there will be at least one 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 in 8 children?

It is given that getting boy or girl is equally likely. The chance of getting boy or girl on birth is 1/2

P (Boy) = P (Girl) = 0.5

If a couple plans to have 8 children then probability of getting at least one girl is

P (Al least one girl out of 8 children) = 1 - P (No girl in 8 children)

= 1 - P (Getting all boys in 8 children)

= 1 - (0.5) ^8

= 1 - 0.0039

P (At least one girl out of 8 children) = 0.9961

The probability of getting at least one girl out of 8 children is 0.9961.

The probability 0.9961 is high enough for the couple to be very confident that they will get at least one girl in 8 children