Probability of birth of a girl or a boy child is equally likely. If a family has two children and it is known that the youngest child is a girl , then the probability that both the child born are girls is

\frac{1}{4}

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\frac{1}{2}

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\frac{1}{3}

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1

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Solution

The correct option is B $\frac{1}{2}$
If B represents boy and G represents girl then,
Sample space will be ${B B, G B, B G, G G}$
$∴$ The required probability $= \frac{1}{2}$
Alternate solution
one child is given as a girl child and $P (G) = P (B) = \frac{1}{2}$
$∴$ The probability that the other child is also a girl is $\frac{1}{2}$

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Probability of birth of a girl or a boy child is equally likely. If a family has two children and it is known that the youngest child is a girl , then the probability that both the child born are girls is

The correct option is B 12If B represents boy and G represents girl then, Sample space will be {BB,GB,BG,GG} ∴ The required probability =12 Alternate solution one child is given as a girl child and P(G)=P(B)=12 ∴ The probability that the other child is also a girl is 12