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JEE Math Practice Question

Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the urn is selected at random and a ball is drawn from it. If the ball drawn is black, then the probability that it is drawn from urn $$\mathrm{A}$$ is :

  1. A.$$\frac{4}{17}$$
  2. B.$$\frac{5}{16}$$
  3. C.$$\frac{5}{18}$$
  4. D.$$\frac{7}{18}$$

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