Question: Experimental vs. Theoretical Probability You plan on drawing a card from a standard 52-card deck, recording the value, and replacing it 45 times. What is the theoretical probability of drawing a king? There are 4 kings in a deck. P(King) = [ ? ]% Round your answer to the nearest whole percent.

1. **State the problem:** We want to find the theoretical probability of drawing a king from a standard 52-card deck. 2. **Formula for theoretical probability:** $$P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$ 3. **Apply the formula:** - Number of favorable outcomes (kings) = $4$ - Total number of possible outcomes (cards) = $52$ So, $$P(\text{King}) = \frac{4}{52}$$ 4. **Simplify the fraction:** $$P(\text{King}) = \frac{\cancel{4}}{\cancel{52}} = \frac{1}{13}$$ 5. **Convert to percentage:** $$P(\text{King}) = \frac{1}{13} \times 100 = 7.6923\%$$ 6. **Round to the nearest whole percent:** $$P(\text{King}) \approx 8\%$$ **Final answer:** The theoretical probability of drawing a king is approximately $8\%$.