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

the balance is found at the link

step-by-step explanation: