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NCERT Exemplar Solutions Class 10 Mathematics Solutions for Statistics and Probability - Exercise 13.3 in Chapter 13 - Statistics and Probability

Question 57 Statistics and Probability - Exercise 13.3

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 white.

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

Number of favourable outcomes for the event that the selected ball is white, F(E) = 8

\therefore \quad \mathrm{P} \text { (ball is white })=\frac{8}{24}=\frac{1}{3}

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