Q74 / 150 · MHT CET 2012 · Mathematics

One card is drawn at random from a pack of playing cards the probability that it is an ace or black king or the queen of the heart will be

  • A
    $\frac{3}{52}$
  • Correct answer
    B
    $\frac{7}{52}$
  • C
    $\frac{6}{52}$
  • D
    $\frac{1}{52}$

Solution

$\therefore$ Required probability $=\frac{{ }^{4} C_{1}+{ }^{2} C_{1}+{ }^{1} C_{1}}{{ }^{52} C_{1}}$ $=\frac{4+2+1}{52}=\frac{7}{52}$

Hence, the correct answer is option: 'B'.

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