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What will be the possibility of drawing a jack or a spade from a well shuffled standard deck of 52 playing cards?

  • A.4/13
  • B.1/26
  • C.1/13
  • D.17/52

Answer: A

There are 4 jacks and 13 spades, but the jack of spades is in both groups and must not be counted twice.

\[ P(J \cup S) = P(J) + P(S) - P(J \cap S) \]

\[ = \frac{4}{52} + \frac{13}{52} - \frac{1}{52} = \frac{16}{52} = \frac{4}{13} \]

Adding without the correction gives \( \tfrac{17}{52} \) - the last option.

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