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A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is not red.

Answer:

Total number of balls = 24

Number of red balls = x

Number of white balls = 2x

Number of blue balls = 3x

Total balls = 24

1x + 2x + 3x = 24

6x = 24

x = 4

So, Number of red balls = x = 1 x 4 = 4

Number of white balls = 2x = 2 x 4 = 8

Number of blue balls = 3x = 3 x 4 = 12

Randomly selected ball is not red

Number of favourable outcomes for the event that ball is not red = 24 – 4 = 20

F(E) = 20

and T(E) = 24

P(\text { not } r e d)=\frac{F(E)}{T(E)}=\frac{20}{24}=\frac{5}{6}\\ \mathrm{P}(\mathrm{E})=\frac{5}{6} \text { is the required probability }

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