A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a King or a Heart?

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Question

A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a King or a Heart?

Accepted Answer

16/52 — There are 4 Kings and 13 Hearts in a standard deck. The King of Hearts is counted in both groups, so by the addition rule: P(King or Heart) = (4 + 13 − 1)/52 = 16/52 = 4/13. Option A (17/52) is the result of adding 4 and 13 without subtracting the overlap (the King of Hearts), a classic inclusion-exclusion error. Option C (4/52) only accounts for the Kings. Option D (13/52) only accounts for the Hearts.

Answer

16/52

Answer

13/52

Answer

4/52

Answer

17/52

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