1. **State the problem:** We draw one card from a standard 52-card deck. Event $E$ is drawing a jack. We want to find the probability of the complement event $E'$, which means drawing a card that is *not* a jack. 2. **Recall the formula:** The probability of the complement event is given by $$P(E') = 1 - P(E)$$ 3. **Calculate $P(E)$:** There are 4 jacks in a 52-card deck, so $$P(E) = \frac{4}{52} = \frac{1}{13}$$ 4. **Calculate $P(E')$ using the complement rule:** $$P(E') = 1 - \frac{1}{13}$$ 5. **Simplify the expression:** $$P(E') = \frac{13}{13} - \frac{1}{13} = \frac{12}{13}$$ 6. **Final answer:** The probability of drawing a card that is not a jack is $$\boxed{\frac{12}{13}}$$