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JEE Math Practice Question

Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be black in colour. Then the probability, that the transferred ball is red, is :

  1. A.$$\frac{4}{9}$$
  2. B.$$\frac{5}{18}$$
  3. C.$$\frac{1}{6}$$
  4. D.$$\frac{3}{10}$$

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