1. **State the problem:** We want to find the probability that a card drawn from a standard deck of 52 cards is either a heart or a king. 2. **Recall the formula for the probability of the union of two events:** $$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$ where $A$ is the event "card is a heart" and $B$ is the event "card is a king". 3. **Calculate each probability:** - Number of hearts in the deck: 13, so $P(A) = \frac{13}{52}$. - Number of kings in the deck: 4, so $P(B) = \frac{4}{52}$. 4. **Calculate the intersection:** - The card that is both a heart and a king is the King of Hearts, so $P(A \cap B) = \frac{1}{52}$. 5. **Apply the formula:** $$P(A \cup B) = \frac{13}{52} + \frac{4}{52} - \frac{1}{52} = \frac{16}{52}$$ 6. **Simplify the fraction:** $$\frac{16}{52} = \frac{4}{13}$$ **Final answer:** The probability that the card is either a heart or a king is $\frac{16}{52}$ or simplified $\frac{4}{13}$. Among the given options, the correct choice is $\frac{16}{52}$.