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  • A couple has two children , (i) Find the probability that both children are males,

Q. 2  A couple has two children,

             (i) Find the probability that both children are males, if it is known that at least one of the children is male.

Answers (1)

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  A couple has two children,

 sample space =\left \{ (b,b),(g,g),(b,g),(g,b) \right \}

Let A be both children are males and B is at least one of the children is male.

(A\cap B)=\left \{ (b,b) \right \}

P(A\cap B)=\frac{1}{4}

P(A)=\frac{1}{4}

P(B)=\frac{3}{4}

P(A|B)=\frac{P(A\cap B)}{P(B)}

P(A|B)=\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{1}{3}

 

Posted by

seema garhwal

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