ACT · Question of the Day

ACT Question of the Day

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Friday, August 7, 2026

A deck of cards is shuffled and one card is drawn. What is the probability of drawing a King or a heart?

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Question of the Day

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A deck of cards is shuffled and one card is drawn. What is the probability of drawing a King or a heart?

$\frac{5}{13}$
$\frac{2}{13}$
$\frac{3}{13}$
$\frac{4}{13}$ (correct answer)

Explanation: There are 4 Kings and 13 hearts in a standard deck, but the King of hearts appears in both categories. Using the inclusion-exclusion principle: $P(King or heart) = P(King) + P(heart) - P(King and heart) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52} = \frac{16}{52} = \frac{4}{13}$ . Choice B ( $\frac{2}{13}$ ) might only count the Kings, while choice C ( $\frac{3}{13}$ ) incorrectly omits some cards.