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# 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 (b) you both enter the different sections?

5.(b)  Out of  $\small 100$ students, two sections of $\small 40$ and  $\small 60$ are formed. If you and your friend are among the $\small 100$ students, what is the probability that

(b) you both enter the different sections?

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Total number of students = 100

Let A and B be the two sections consisting of 40 and 60 students respectively.

We found out in (a) that the probability that both students are in same section is $\dpi{100} \frac{17}{33}$

(b) Probability that both the students are in different section =  $\dpi{100} 1 - \frac{17}{33}$ $\dpi{100} = \frac{16}{33}$

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