1. **State the problem:** We want to find the probability that a randomly chosen pasty is vegetarian. 2. **Understand the data:** From the frequency tree: - Total pasties = 29 - Vegetarian pasties = 7 3. **Formula for probability:** $$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$ 4. **Apply the formula:** $$\text{Probability (vegetarian pasty)} = \frac{7}{29}$$ 5. **Interpretation:** The probability that a randomly chosen pasty is vegetarian is $$\frac{7}{29}$$. This fraction cannot be simplified further.