Subjects probability

Dessert No Starter 1A85F1

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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 $$\boxed{\frac{5}{19}}$$.