A jar contains 24 marbles, some are green, and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3. Find the number of blue balls in the jar

Solution:

We use the basic concepts of linear equations and the basic formula of probability to solve the problem.

Total number of marbles = 24

Let the number of green marbles be x and the blue marbles be 24 - x

Probability of getting green marbles = 2/3

Number of possible outcomes / Total number of outcomes = 2/3

x/24 = 2/3

x = (2/3) × 24

x = 16

Therefore, the number of green marbles = 16

Hence, total number of blue marbles = 24 - x

= 24 - 16 = 8

Thus, the number of blue marbles is 8.

Check out more on terms of probability.

☛ Check: NCERT Solutions for Class 10 Maths Chapter 15

Video Solution:

A jar contains 24 marbles, some are green, and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3. Find the number of blue balls in the jar.

NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.2 Question 5

Summary:

If a jar contains 24 marbles, some are green and others are blue and if marble is drawn at random from the jar, and the probability that it is green is 2/3, then the number of blue marbles in the jar is 8.

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