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JEE Math Practice Question

In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are labelled as B. Cards are drawn at random, one after the other and with replacement, till a second A-card is obtained. The probability that the second A-card appears before the third B-card is :

  1. A.$${{13} \over {16}}$$
  2. B.$${{11} \over {16}}$$
  3. C.$${{15} \over {16}}$$
  4. D.$${{9} \over {16}}$$

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