Question

Use the table below. Make an organized list or tree diagram to find all the possible lunch combinations including one sandwich, one soup and one salad. What is the probability that any customer will order a roast beef sandwich and a caesar salad with their lunch; P(roast beef and caesar)? Write the answer as a fraction.

Answer 1

There are 12 possible combinations.

P(roast beef & caesar) = 1/6

Explanation:

The List:

1. Tortellini - Caesar - Roast Beef
2. Tortellini - Macaroni - Roast Beef
3. Tortellini - Caesar - Ham
4. Tortellini - Macaroni - Ham
5. Tortellini - Caesar - Turkey
6. Tortellini - Macaroni - Turkey
7. Lentil - Caesar - Roast Beef
8. Lentil - Macaroni - Roast Beef
9. Lentil - Caesar - Ham
10. Lentil - Macaroni - Ham
11. Lentil - Caesar - Turkey
12. Lentil - Macaroni - Turkey

That shows there are 12 possible combinations.

Of those combinations, 2 have both caesar salad & a roast beef sandwich. That equates to 2/12, which is the same as 1/6. So P(roast beef & caesar) is equal to 1/6.