# A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be

(i) red ? (ii) white ? (iii) not green?

**Solution:**

We use the basic formula of occurrence of an event in probability to solve the problem.

Find out the probability of getting red, white, and green marble by using the formula

Probability = Number of possible outcomes/Total number of favorable outcomes.

Using the formula of the sum of complementary event, find out the probability of not getting the green ball

P (E) + P (not E) = 1

Number of red balls in a bag = 5

Number of white balls in a bag = 8

Number of green balls in a bag = 4

Total number of balls = 5 + 8 + 4 = 17

(i) Probability of drawing red ball = 5/17

(ii) Probability of drawing white ball = 8/17

(iii) Probability of drawing a ball which is green = 4/17

P (not E) = 1 - P (E)

= 1 - 4/17

= 13/17

**Video Solution:**

## A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red ? (ii) white ? (iii) not green?

### NCERT Solutions for Class 10 Maths - Chapter 15 Exercise 15.1 Question 9:

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red ? (ii) white ? (iii) not green?

If a box contains 5 red marbles, 8 white marbles and 4 green marbles, one marble is taken out of the box at random, then the probability that the marble taken out will be red, white, and not green are 5/17, 8/17, and 13/17 respectively