A bag contains 3 red balls, 5 white balls and 7 black balls. What is the probability that a ball drawn from the bag at random will be neither red nor black
a. 1/5
b. 1/3
c. 7/15
d. 8/15

Solution:

It is given that

A bag contains 3 red balls, 5 white balls and 7 black balls

So the total number of possible outcomes = 3 + 5 + 7 = 15

We know that

Favourable outcome is that the ball drawn from the bag at random will be neither red nor black

It means that the ball drawn should not be red or black

So the favourable outcome = 5 white ball

Probability = Number of favourable outcome/ Total number of possible outcome

Substituting the values

= 5/15

= 1/3

Therefore, the probability that a ball drawn from the bag at random will be neither red nor black is ⅓.

✦ Try This: A bag contains 7 red balls, 5 white balls and 6 black balls. What is the probability that a ball drawn from the bag at random will be neither white nor black?

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

NCERT Exemplar Class 10 Maths Exercise 13.1 Sample Problem 6

A bag contains 3 red balls, 5 white balls and 7 black balls. What is the probability that a ball drawn from the bag at random will be neither red nor black a. 1/5, b. 1/3, c. 7/15, d. 8/15

Summary:

A bag contains 3 red balls, 5 white balls and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is 1/3

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