NCERT Class X Chapter 14: Probability Exercise 14.1 Question (8)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 8

Question:

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is (i) red ? (ii) not red?

Given:

Number of red balls = 3
Number of black balls = 5
Total number of balls = 3 + 5 = 8

To Find:

(i) Probability of drawing a red ball
(ii) Probability of drawing a ball that is not red

Formula:

Probability = Number of favorable outcomes Total number of possible outcomes

Solution:

(i) Probability of drawing a red ball:

Number of favorable outcomes (red balls) = 3
Total number of possible outcomes (total balls) = 8
Probability (red) = 3 8

(ii) Probability of drawing a ball that is not red (i.e., black):

Number of favorable outcomes (black balls) = 5
Total number of possible outcomes (total balls) = 8
Probability (not red) = 5 8

Result:

(i) The probability of drawing a red ball is 3 8
(ii) The probability of drawing a ball that is not red is 5 8

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