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A card is drawn from a well-shuffled deck of playing cards. Find the probability of drawing a black card which is neither a face card nor an ace?

  • A.10/13
  • B.9/13
  • C.9/26
  • D.9/52

Answer: C

In each suit, there are 9 cards that are not face cards and ace.

Hence, there will be a total of 18 cards in a deck which are black and are not face cards and ace.

We know that, Probability of an event E, P (E) =number of favourable outcomes/total number of outcomes

Required probability is 18/52 = 9/26.

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