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 one is white and one is black.

• A. $\frac{13}{24}$
• B. $\frac{15}{24}$
• C. $\frac{11}{21}$
• D. $\frac{1}{2}$

Answer 1

The correct option is A $\frac{13}{24}$

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

$\frac{4}{6}\times \frac{5}{8}+\frac{2}{6}\times \frac{3}{8}=\frac{13}{24}$