1. **State the problem:** We want to find the probability that a randomly chosen customer who ordered a dessert did not order a starter. 2. **Identify the sets and numbers:** - Customers who ordered a starter only: 6 - Customers who ordered a dessert only: 8 - Customers who ordered both starter and dessert: 15 - Customers who ordered neither: 7 3. **Calculate total customers who ordered dessert:** This includes those who ordered dessert only and those who ordered both. $$\text{Dessert total} = 8 + 15 = 23$$ 4. **Calculate customers who ordered dessert but not starter:** These are the customers who ordered dessert only. $$\text{Dessert only} = 8$$ 5. **Calculate the probability:** The probability that a customer ordered dessert but not starter is the ratio of dessert only customers to total dessert customers. $$P(\text{No starter} | \text{Dessert}) = \frac{8}{23}$$ 6. **Final answer:** The probability is $$\frac{8}{23}$$.