Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Probability

Question:

A bag contains 6 white and 4 black ball. Two balls are drawn at random. Then the probability of getting balls of the same colour is ____.

Options:

8/15

6/15

6/13

7/15

Correct Answer:

7/15

Explanation:
Explanation: We are given 6 white and 4 black balls and we have been asked to find the probability of drawing 2 balls of the same colour. Number of ways of drawing 2 balls out of 10. 2 balls can be drawn out of 10 balls in the following number of ways – 10C2 = 45 Total outcomes are 45. Favourable items = n(2 white balls appear) + n(2 black balls appear) Favourable items = 6C2+4C2 = 15 + 6 = 21 Required Probability = 21/45 = 7/15 The correct answer is Option (4) → 715