Answer:
[tex]\frac{1}{8}[/tex]
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)=[tex]\frac{number\;of\;favorable\;cases}{Total\;number\;of cases}[/tex]
Using the formula
Then , the probability that all three of their children will be girls=[tex]\frac{1}{8}[/tex]