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  4. A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :

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Q. A box contains $15$ green and $10$ yellow balls. If $10$ balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is :

JEE MainJEE Main 2017Probability - Part 2

Solution:

$n = 10$
p(Probability of drawing a green ball) $=\frac{15}{25}$
$\therefore p=\frac{3}{5}, q=\frac{2}{5}$
var(X) = n.p.q
$=10. \frac{6}{25}=\frac{12}{5}$