Question

A bag contains 4 white, 5 red and 6 blue balls. A ball is drawn at random from the bag. The probability that it is not a red ball is

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

Answer 1

The correct option is B

$\frac{2}{3}$
Given that the bag contains 4 white, 5 red and 6 blue balls.

Total number of balls in the bag $=4+5+6=15$

Total number of red balls in the bag $=5$

Total number of non-red balls in the bag $=15–5=10$

$\therefore$ Probability that the drawn ball is not a red ball
$=\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}=\frac{10}{15}=\frac{2}{3}$

Hence, the correct answer is option (b).