1. **State the problem:** We draw one card from a standard 52-card deck. Event $E$ is drawing a club. We want to find the probability of the complement event $E'$, which means drawing a card that is not a club. 2. **Recall the formula:** The probability of the complement event is given by $$P(E') = 1 - P(E)$$ 3. **Calculate $P(E)$:** There are 13 clubs in a 52-card deck, so $$P(E) = \frac{13}{52}$$ 4. **Simplify $P(E)$:** $$P(E) = \frac{13}{52} = \frac{\cancel{13}}{\cancel{52}} = \frac{1}{4}$$ 5. **Calculate $P(E')$ using the complement rule:** $$P(E') = 1 - P(E) = 1 - \frac{1}{4}$$ 6. **Simplify $P(E')$:** $$P(E') = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}$$ **Final answer:** $$P(E') = \frac{3}{4}$$