If a couple plans to have 6 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 6 children?

The correct answer would be, Yes the couple can be confident because the probability is close to 1.

Explanation:

According to the question, we are assuming that getting a boy or a girl is equally likely.

Hence;

P (getting a girl) = 1 / 2

and

P (getting a boy) = 1 / 2 in one birth.

Given the total number of children they plan to have = 6

P (there will be at least one girl) = 1 - P (there will be no girl)

= 1 - P (all of them are boys)

= 1 - (1 / 2) 6

= 0.984375

Correct Answer: Yes because the probability is close to 1.