Assume that the probability of a boy being born is the same as the probability of...

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Assume that the probability of a boy being born is the same as the probability of...

Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have the given composition.

The two oldest children are girls.

math Advanced-Mathematics

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Answer 1

Answer #1

Given that,

The probability of a boy being born is the same as the probability of a girl being born.

There are three children in family.

Each outcome of the experiment may be represented by as sequence of boys and girls. Using generalized multiplication principle, we see that the number of outcomes of this experiment is given by.

The number of outcomes of the experiment

Where is sample space

Let E be the event that the family with the two oldest children are girls.

The number of ways favorable to is,

The required probability

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Answer 2

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