Multiple choice

Consider a pack of 52 cards. One card is drawn at random. What is the probability of the card being a heart or a seven?

  1. 1/52

  2. 4/13

  3. 1/26

  4. 17/52

  5. 1/4
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B Correct answer
Explanation

Total cards = 52. Hearts = 13. Sevens = 4. One card is a seven of hearts, so it is counted twice. P(Heart or Seven) = P(Heart) + P(Seven) - P(Heart and Seven) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13.

AI explanation

Apply the addition theorem of probability for non-mutually exclusive events to solve for the likelihood of drawing a heart or a seven. The probability of drawing a heart is 13/52, and the probability of drawing a seven is 4/52. Since the seven of hearts is counted in both groups, subtract its probability of 1/52 from the sum. The calculation is 13/52 plus 4/52 minus 1/52, resulting in 16/52, which simplifies to 4/13. The answer is 4/13.

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