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JEE Math Practice Question

An unbiased coin is tossed. If the outcome is a head then a pair of unbiased dice is rolled and the sum of the numbers obtained on them is noted. If the toss of the coin results in tail then a card from a well-shuffled pack of nine cards numbered 1, 2, 3, ……, 9 is randomly picked and the number on the card is noted. The probability that the noted number is either 7 or 8 is :

  1. A.$${{19} \over {36}}$$
  2. B.$${{15} \over {72}}$$
  3. C.$${{13} \over {36}}$$
  4. D.$${{19} \over {72}}$$

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