In a family of three children, what is probability that the third child is a girl given that the other two are also girls?

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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Formula

Probability = Favourable outcome/total outcome

Calculation

Family of 3 children = G, G, G whereas G = Girls

We can select girl as 3C1 =  = 3

No of possible ways to select the girls be  

⇒ Possible outcome = 

Total way to select girls =3! = 3 × 2

⇒ Total outcome 6

Probability = Favourable outcome/total outcome

⇒ Probability =

∴ The probability that the third child is a girl given that the other two are also girls is 1/4

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