1. **State the problem:** We want to find the probability of drawing either a red Jack or a red 2 from a standard deck of 52 cards. 2. **Identify the total number of cards:** A standard deck has 52 cards. 3. **Count the favorable outcomes:** - Red Jacks: There are 2 red Jacks (Jack of Hearts and Jack of Diamonds). - Red 2s: There are 2 red 2s (2 of Hearts and 2 of Diamonds). 4. **Calculate the total favorable outcomes:** $$2 + 2 = 4$$ 5. **Write the probability formula:** $$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ 6. **Substitute values:** $$P(\text{red Jack or red 2}) = \frac{4}{52}$$ 7. **Simplify the fraction:** $$\frac{4}{52} = \frac{\cancel{4}^1}{\cancel{52}^{13}} = \frac{1}{13}$$ **Final answer:** $$\boxed{\frac{1}{13}}$$