Question
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 one of the bags and it is found to be red. Find the probability that it was drawn from the bag B.
Solution
Let E1 and E2 be the events of the ball being drawn from bag A and bag B respectively and E be the event that the drawn ball is red.
Since both the bags are equally likely to be selected i.e., E1 and E2 are mutually exclusive and exhaustive events.
