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 white.

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. $\frac{1}{4}$
• D. $\frac{3}{4}$

Answer 1

The correct option is C $\frac{1}{4}$

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

Probability of getting both white

$\frac{4}{6}\times \frac{3}{8}=\frac{1}{4}$