Multiple choice

The probability that a card drawn from a pack of 52 cards will be of a diamond suit or a King is

  1. 1/52

  2. 2/13

  3. 4/13

  4. 1/13

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

P(Diamond) = 13/52. P(King) = 4/52. P(Diamond and King) = 1/52. P(Diamond or King) = P(Diamond) + P(King) - P(Diamond and King) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13.

AI explanation

Use the addition rule of probability for non-mutually exclusive events: P(A or B) equals P(A) plus P(B) minus P(A and B). The probability of drawing a diamond is 13/52, the probability of drawing a King is 4/52, and the probability of drawing the King of diamonds is 1/52. Substituting these values gives 13/52 plus 4/52 minus 1/52, which equals 16/52 or 4/13.

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