Multiple choice

A card is drawn at random from a well suffled desk of playing cards. Find the probability that the card drawn is:. A card of spade or an ace.

  1. $\dfrac{4}{13}$
  2. $\dfrac{5}{26}$
  3. $\dfrac{7}{13}$

  4. None of these
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A Correct answer
Explanation

There are 13 spades and 4 aces. One ace is a spade, so there are 13 + 3 = 16 favorable cards. Probability = 16/52 = 4/13.

AI explanation

By the addition theorem of probability, P(spade or ace) equals P(spade) plus P(ace) minus P(spade ace). There are 13 spades, 4 aces, and 1 ace of spades, so the calculation is 13/52 plus 4/52 minus 1/52. This equals 16/52, which simplifies to 4/13.

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