A couple has two children, one of whom is a girl. If the probability of having a girl or a boy

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A couple has two children, one of whom is a girl. If the probability of having a girl or a boy is 50%, what is the probability that the couple has two daughters?

A. 1/8
B. 1/4
C. 1/3
D. 1/2
E. 2/3



OA C

Source: Veritas Prep

[swerve]

A couple has two children, one of whom is a girl. If the probability of having a girl or a boy is 50%, what is the probability that the couple has two daughters?

A. 1/8
B. 1/4
C. 1/3
D. 1/2
E. 2/3



OA C

Source: Veritas Prep

Sample space = {bb, bg, gb, gg}

Favourable event = {gg}

Since it's given that one of the children is a girl, the new Sample Space = {bg, gb, gg}.

So, probability \(= \dfrac{1}{3}\)

Therefore, C