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horsena [70]
4 years ago
12

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 t

he probability that all three of their children will be girls?
Mathematics
1 answer:
zhuklara [117]4 years ago
6 0

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}

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