Multiple choice

The probability that a card drawn at random from a pack of 52 card a King or Heart is

  1. 1/13

  2. 1/52

  3. ¼

  4. 16/52
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D Correct answer
Explanation

There are 13 Hearts and 4 Kings in a deck. One King is also a Heart, so there are 13 + 3 = 16 unique cards that are either a King or a Heart. The probability is 16/52.

AI explanation

Using the addition theorem of probability, P(A or B) = P(A) + P(B) - P(A and B). The probability of drawing a King is 4/52 and the probability of drawing a Heart is 13/52, while the probability of drawing the King of Hearts is 1/52. This calculates to (4 + 13 - 1) divided by 52. The result is 16/52.

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