Question

A bag contains 4 white and 2 black ball and $2{}^{nd}$ bag contains 3 white and 5 black balls. If drawn from each bag, find the probability both are black.

• A. $\frac{3}{24}$
• B. $\frac{1}{24}$
• C. $\frac{3}{12}$
• D. $\frac{5}{24}$

Answer 1

The correct option is D $\frac{5}{24}$

Bag 1 $\to$ 4 white and 2 black and
Bag 2 $\to$ 3 white and 5 black ball

Probability of getting both black
$=\frac{2}{6}\times \frac{5}{8}=\frac{5}{24}$