Sarah is the owner of Sarah’s Pub, and her best business is onFriday and Saturday nights when customers buy plenty of alcoholicbeverages (alcohol). After studying a large sample of receipts fromFriday and Saturday nights, Sarah knows the following. 73% of herorders on these nights involve at least one alcohol sale. 23% ofher customers order only alcohol, 28% have dinner plates, and therest have sandwiches.   Of those who order dinner plates,60% order alcohol; and of those who order sandwiches, 89% orderalcohol. Sarah still has questions, as do I.

1. (5 points) What is the probability that a randomly selectedcustomer orders a sandwich?

Type the answer and any work below. Write one sentenceinterpreting the result.

2. (5 points) What is the probability a randomly selectedcustomer ordered alcohol and a

sandwich? Type the answer and any work below. Write onesentence

interpreting the result.

3. (5 points) What is the probability a randomly selectedcustomer ordered alcohol or a

sandwich? Type the answer and any work below. Write onesentence

interpreting the result.

4. (5 points) What is the probability a randomly selected ordersalcohol and a dinner plate? Type

the answer and any work below. Write one sentence interpretingthe result.

5. (5 points) Are orders for alcohol and orders for dinnerplates independent events? Type the

answer and any work below. You must report two probabilities andexplain your

reasoning to receive credit for this answer.