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An experiment consists of recording boy-girl composition of families with 2 children (i) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?

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Sample space for knowing whether it is a boy or a girl.
Let $B_1$ and $B_2$ denote the first and second boy and $G_1$ and $G_2$ denote the first and second girl respectively.
$\therefore$ The different possibilities are both the babies are boys (i.e) first baby is a boy and second is a boy,first baby is a boy and second is a girl,first baby is a girl and second is a boy,first and second baby both are girl.
$\therefore$ The sample space $S=\{B_1B_2,B_1G_2,G_1B_2,G_1G_2\}$
answered Jun 26, 2014 by sreemathi.v
 

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