Dessert No Starter 1A85F1
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: 3
- Customers who ordered both starter and dessert: 14
- Customers who ordered dessert only: 5
- Customers who ordered neither: 8
3. **Calculate total customers who ordered dessert:**
This includes those who ordered dessert only and those who ordered both.
$$\text{Dessert total} = 5 + 14 = 19$$
4. **Calculate customers who ordered dessert but not starter:**
These are the customers who ordered dessert only.
$$\text{Dessert but no starter} = 5$$
5. **Calculate the probability:**
The probability that a customer ordered dessert but not starter given they ordered dessert is
$$P(\text{no starter} | \text{dessert}) = \frac{\text{Dessert but no starter}}{\text{Dessert total}} = \frac{5}{19}$$
6. **Final answer:**
The probability is $$\boxed{\frac{5}{19}}$$.