1. **State the problem:** Lonnie threw 50 free throws and missed 16. We want to predict how many free throws Lonnie will make out of 75 throws. 2. **Find the number of successful throws in the first 50:** $$\text{Successful throws} = 50 - 16 = 34$$ 3. **Calculate the experimental probability of success:** $$P(\text{success}) = \frac{\text{successful throws}}{\text{total throws}} = \frac{34}{50}$$ 4. **Use this probability to predict the number of successful throws out of 75:** $$\text{Predicted successes} = P(\text{success}) \times 75 = \frac{34}{50} \times 75$$ 5. **Simplify the expression:** $$\frac{34}{50} \times 75 = 34 \times \frac{\cancel{75}}{\cancel{50}} \times \frac{1}{1} = 34 \times \frac{3}{2} = \frac{34 \times 3}{2} = \frac{102}{2} = 51$$ 6. **Interpretation:** Lonnie is predicted to make 51 free throws out of 75. **Final answer:** Lonnie will make 51 free throws.