Question

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. What is the probability that the ball drawn is either black or white?

• A. $\frac{7}{8}$
• B. $\frac{5}{8}$
• C. $\frac{8}{15}$
• D. $\frac{1}{15}$

Answer 1

The correct option is C $\frac{8}{15}$

Let $E_2$ represents event of drawing a black or white ball.
$\therefore P\left(E_2\right)=\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes}=\frac{5+3}{15}=\frac{8}{15}$