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

Answer:

$\frac{1}{8}$

Step-by-step 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)=$\frac{number\;of\;favorable\;cases}{Total\;number\;of cases}$

Using the formula

Then , the probability that all three of their children will be girls=$\frac{1}{8}$