Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityConditional probabilityEasy2 minPYQ_2019

MathematicsEasysingle choice

Assume that each born child is equally likely to be a boy or girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is:

Options:

Answer:

Solution:

Family has four children in total.

$∴$ Total number of ways in which at least two girls are there

is $^{4} C_{2} +^{4} C_{3} +^{4} C_{4} = 11$

Favourable case in which all are girls is $= 1$

$∴ P = \frac{1}{11}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Conditional probability

⏱ 2mℹ️ Source: PYQ_2019

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