Home Maths Probability Conditional Probability, Baye's Theorem There are 3 bags which are known to contain …
Maths Probability Conditional Probability, Baye's Theorem Single Correct MCQ
Published on: August 14, 2026

There are 3 bags which are known to contain 2 white and 3 black balls; 4 white and 1 black balls and 3 white and 7 black balls respectively. A ball is drawn at random from one of the bags and found to be a black ball. Then the probability that it was drawn from the bag containing the most black balls is

A
B
C
D
None of these

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The correct answer is:
A

Consider the following events :

Ball drawn is black; Bag I is chosen;

Bag II is chosen and Bag III is chosen.

Then

Required probability

.

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