Question

A couple has six children what is the probability that they have all boys

Answer 1

For any birth we have only two possible outcomes either boy or girl. So the chance of getting boy or girl on birth same which is 1/2.

The probability of getting baby boy or baby girl on any birth is

P(Boy) = P(Girl) = 0.5

If a couple has six children then probability that all are boys is

P( all six are boy) = (0.5)^6

= 0.015

The probability that all six are boy is 0.015