Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A bag ‘ A ’ contains 2 white and 3 red balls and bag ‘ B ’ contains 4 white and 5 red balls. One ball is drawn at random from a randomly chosen bag and is found to be red. The probability that it was drawn from bag ‘ B ’ was
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let 
be the event that the ball is drawn from bag 
the event that it is drawn from bag 
and 
that the ball is red.We have to find 
.
Since both the bags are equally likely to be selected, we have 
Also 
and 
Hence by Bay’s theorem, we have
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