An experiment consists of recording boy-girl composition of families with $2$ children. What is the sample space if we are interested in the number of girls in the family?

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since the maximum number of children in each family is $2,$ a family can either have $2$ girls or $1$ girl or no girl.

Hence, the required sample space is $S =\{0,1,2\}$

A box contains $1$ red and $3$ identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

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  • [IIT 1980]

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