Multiple choice

A card is drawn from a well-shuffled standard pack of 52 cards. What is the probability that the card drawn is either a King or a Heart?

  1. 4/13

  2. 2/13

  3. 5/13

  4. 3/13

  5. None of these
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A Correct answer
Explanation

There are 13 Hearts and 4 Kings in a deck. Since one card (the King of Hearts) is counted in both groups, we use the formula P(A or B) = P(A) + P(B) - P(A and B). This gives (13/52) + (4/52) - (1/52) = 16/52, which simplifies to 4/13.

AI explanation

Using the addition theorem of probability for non-mutually exclusive events, the probability is P(King) plus P(Heart) minus P(King of Hearts). There are 4 Kings and 13 Hearts, so this is 4 divided by 52 plus 13 divided by 52 minus 1 divided by 52. The result is 16 divided by 52, which simplifies to 4 divided by 13.

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