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Question

A couple has two children . Find the probability that both the children are (i) males , if it is known that at least one of the children is male . (ii) females, if it is known that the elder child is a female .

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Solution

i)If it is known that at least one of the children is male.
Then possible outcomes are:
i)Both Males ii)One male and one female.
Then probability that both the childrens are male is;12

ii) If it is known that the elder child is a female.
Then possible outcomes are:
i)Both female ii)One male and one female.
Then probability that both the childrens are female is:12



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