Question

In his wardrobe, Vignesh has three trousers. One of them is white, the second is blue, and the third is brown. In his wardrobe, he also has four shirts. One of them is white and the other 3 are black. He opens his wardrobe in the dark and picks out one shirt and one trouser without examining the colour. What is the probability that neither the shirt nor the trouser is white?

• A. $\frac{2}{3}$
• B. $\frac{2}{3}$
• C. $\frac{1}{2}$
• D. $\frac{1}{3}$
• E. None of these

Answer 1

The correct option is C

$\frac{1}{2}$

Probability that trouser is not white = $\frac{2}{3}$
Probability that shirt is not white = $\frac{3}{4}$
$\therefore$ Required probability = $\frac{1}{2}$