Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that You both enter the different sections?
Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that You both enter the different sections?
My friend and $I$ are among the $100$ students.
Total number of ways of selecting $2$ students out of $100$ students $=^{100} C_{2}$
$P$ (we enter different sections)
$=1- P$ (we enter the same section)
$=1-\frac{17}{33}=\frac{16}{33}$
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