Question

Alice and Bill are planning to have three children. (Assume that it is equally likely for a boy or a girl to be born.) What is the probability that all three of their children will be girls?

Answer 1

`(1)/(8)`

Explanation:

Alice and Bill are planning to have three children

We have to find the probability that all three of their children will be girl.

Sample space =S={BBB,BBG,BGB,GBB,GGG,GBG,GGB,BGG}

Total =8

Number of cases in which all three children are girls={GGG}

Probability,P(E)=
`(number\;of\;favorable\;cases)/(Total\;number\;of cases)`

Using the formula

Then , the probability that all three of their children will be girls=
`(1)/(8)`