The card drawn is either a heart, a king or a queen
- $\dfrac{17}{52}$
- $\dfrac{21}{52}$
- $\dfrac{19}{52}$
- $\dfrac{9}{26}$
Reveal answer
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C
Correct answer
Explanation
Using the inclusion-exclusion principle: P(Heart) + P(King) + P(Queen) - P(Heart and King) - P(Heart and Queen) - P(King and Queen) + P(Heart and King and Queen). This is 13/52 + 4/52 + 4/52 - 1/52 - 1/52 - 0 + 0 = 19/52.
AI explanation
In a standard 52-card deck, there are 13 hearts, 4 kings, and 4 queens. Using the principle of inclusion-exclusion, we add these cards and subtract the overlaps to avoid double counting the king and queen of hearts. This gives the calculation 13 plus 4 plus 4 minus 2, resulting in 19 favorable cards, so the probability is 19/52.