Donato’s completed a marketing study to determine what types of pizza people liked. They offered one
free slice as their choice from cheese, meat lover and veggie to each of 1000 people and recorded their
preference and their ages. The following table summarizes the results.
Age Cheese
Meat
Veggie
Totals 25-34 35-44 45-65 230
120
50 140
150
60 30
60
160 Totals If one person is chosen at random from the above study, determine the following:

(Give your answer as a fraction and a decimal rounded to three decimal places)

1. What is the probability that the person is 35-44 years old?

2. What is the probability that the person prefers cheese?

3. What is the probability that the person does NOT prefer veggie?

4. What is the probability that the person is 25-34 years old OR prefers cheese?

5. What is the probability that the person is 25-34 years old AND prefers veggie?

6. What is the probability that the person is 45-65 years old OR prefers cheese?

7. What is the probability that the person prefers cheese OR meat?

8. What is the probability that the person’s age is at least 34?

9. What is the probability that the person prefers meat AND veggie?

10. What is the probability that the person is 35-44 years old, given that the person prefers meat?

11. What is the probability that the person prefers meat, given that the person 35-44 years old?

12. What is the probability that the person is 35-44 years old AND prefers meat?

13. What is the probability that the person prefers veggie, given that the person is 25-34 years old?

14. What is the probability that the person is 25-34 years old, given that the person prefers veggie?

15. Is the preference independent of age? Use probabilities from above to demonstrate your decision.

16. Give an example of two events that are disjoint (mutually exclusive)?