MathematicsRed queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is a queen.

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the drawn card is a queen.


  1. A
    15 24  
  2. B
    1 24  
  3. C
    23 24  
  4. D
    52 24   

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    Solution:

    Given, red queens and black jacks are removed from a pack of 52 playing cards.
    We know that a pack of 52 cards contains 12 face cards out of which a pair of king, queen and jacks are red and a pair of king, queen and jacks are black.
    So, the total outcomes is 524=48  .
    According to the question, the drawn card is a queen.
    We know that there are 4 queen cards.
    Since, the red queens are removed, the number of favourable outcomes is 42=2  .
    Now, the probability of getting a queen card is:
    p= n( Favorable ) n( Total ) p= 2 48 p= 1 24  
    Therefore, the required probability is 1 24  .
    Hence, option 2 is correct.
     
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