A bag contains 5 balls; 3 balls are drawn in succession wit…

Maths Probability General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

A bag contains 5 balls; 3 balls are drawn in succession

without replacement and two white and 1 black ball are

obtained. If it is known that every ball in the bag is either

white or black, then the probability that, the next draw will

give white ball.

2/5

3/5

1/5

4/5

Text Solution

Verified by Experts

The correct answer is:

Let E 0 , E 1 , E 2 be the events that the bag contains 2,3,4 white balls.

P(E 0 ) = P(E 1 ) = P(E 2 ) = 1/3.

Let E be the event of drawing 2 white and 1 black balls.

P(E/E 0 ) =

P(E/E 1 ) = P(E/E 2 ) = .

P(E 0 /E) =

P(E 1 /E) = 2/5; P(E 2 /E) = 2/5.

Probability that next draw will give white ball = P(E 0 /E).0 + P(E 1 /E) + P(E 2 /E).1

= 0 + .

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.