Question

In a selection process, a hundred candidate participate in Group Discussion sessions (GD) and Personal Interview (PI). The possibilities of a candidate's good performance in GD and in PI are independent of each other. It was found that $20$ candidates were good in GD and $30$ were good in PI. The number of candidates good in both GD and PI is expected to be about:

• A. $6$
• B. $10$
• C. $20$
• D. $30$

Answer 1

The correct option is A $6$

$P\left(GDandPI\right)=P\left(GD\right)\times P\left(PI\right)=\left(\frac{20}{100}\right)\times \left(\frac{30}{100}\right)=\left(\frac{6}{100}\right)\therefore no.ofcandidatesexpected=P\left(GDandPI\right)\times 100=6$

So, the correct option is '6'.