Bag A contains 2 red and 3 black balls while another bag B contains 3 red and 4 black balls. One ball is drawn at random from one of the bag and it is found to be red. Find the probability that it was drawn from bag B.
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Solution
Probability of drawing a red ball from bag A = 22+3=25
Probability of drawing a red ball from bag B = 33+4=37
therefore probability that the drawn red ball belongs to bag B = 3725+37