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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

Solution:

Given, a bag contains 24 balls of which x are red, 2x are white and 3x are blue.

A ball is selected at random.

We have to find the probability of selecting a ball that is not red.

Given, x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4

Number of red balls = x

= 4

Number of white balls = 2x

= 2(4)

= 8

Number of blue balls = 3x

= 3(4)

= 12

The probability of selecting a ball that is not red is given by

Favourbale outcomes = balls other than red

= white balls + blue balls

Number of favourable outcomes = 8 + 12 = 20

Number of possible outcomes = 24

Probability = number of favourable outcomes / number of possible outcomes

Probability = 20/24

= 10/12

= 5/6

Therefore, the probability of selecting a ball that is not red is 5/6.

✦ Try This: A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag, what is the probability that the selected ball is not red?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 41(i)

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

Summary:

A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. The probability that it is not red is 5/6

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