Question

A bag contains 5 red, 3 white and 2 black balls. If a ball is picked at random, the probability that it is red, is

• A. $\frac{1}{5}$
• B. $\frac{1}{2}$
• C. $\frac{3}{10}$
• D. $\frac{9}{10}$

Answer 1

The correct option is B $\frac{1}{2}$

Total number of ways is selecting 1 ball out of the 10 available balls. For favorable outcome, we have to select one red ball from the 5 red balls available.
Required probability =$\frac{{}^5{C}_1}{{}^{10}{C}_1}$
$=\frac{5}{10}=\frac{1}{2}$