Question

A bag contains 6 black, 7 red and 2 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is black or white.

• A. $\frac{8}{15}$
• B. $\frac{3}{5}$
• C. $\frac{2}{3}$
• D. $\frac{1}{5}$

Answer 1

The correct option is A

$\frac{8}{15}$

Total number of balls = 15
Number of balls that are either black or white = 8
Hence the number of favourable outcomes of ball drawn being black or white is 8.
We know that, Probability of an event E, P(E) =$\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$
So the required probability is $\frac{8}{15}$.