MathematicsFive cards-the ten, jack, queen, king and ace of diamonds, are well shuffled with their faces downwards. One card is then picked up at random. What is the probability that the drawn card is the queen?

Five cards-the ten, jack, queen, king and ace of diamonds, are well shuffled with their faces downwards. One card is then picked up at random. What is the probability that the drawn card is the queen?


  1. A
    1 5  
  2. B
    4 5  
  3. C
    5 5  
  4. D
    1 10   

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    Solution:

    Given that the ten, jack, queen, king and ace of diamonds, are well shuffled with their faces downwards.
    As there are 5 cards in total which are well-shuffled, the number of total outcomes is 5.
    Number of queens in 5 cards is 1.
    So, the favourable outcome is 1.
    The formula of the probability of an event is the number of favorable outcomes divided by the total number of outcomes.
    P(E)= no. of favorable outcomes  total number of outcomes  
    The probability that drawn card is queen is,
    P = no. of favorable outcomes   total number of outcomes  P = 1 5  
    Therefore, the probability that drawn card is queen is 1 5  .
    Hence, option 1 is correct.
     
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