1. **Problem statement:** A card is drawn at random from a standard deck of 52 cards. We want to find the probability that the card is neither a spade nor a Jack. 2. **Formula for probability:** $$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ 3. **Step 1: Total number of cards** There are 52 cards in total. 4. **Step 2: Count cards that are spades or Jacks** - Number of spades = 13 (one suit) - Number of Jacks = 4 (one in each suit) 5. **Step 3: Avoid double counting the Jack of spades** The Jack of spades is counted in both groups, so subtract 1 to avoid double counting. 6. **Step 4: Calculate number of cards that are spades or Jacks** $$13 + 4 - 1 = 16$$ 7. **Step 5: Calculate number of cards that are neither spades nor Jacks** $$52 - 16 = 36$$ 8. **Step 6: Calculate the probability** $$\frac{36}{52} = \frac{9}{13}$$ **Final answer:** The probability that the card is neither a spade nor a Jack is **$\frac{9}{13}$**.