Question

finding the probability of compound events
a sandwich shop offers ham, turkey, tuna, chicken salad, and roast beef. it has swiss, american, and provolone cheese. you can order a sandwich on white, wheat, or rye bread. if a person orders a sandwich and chooses a meat, cheese, and bread at random, how many sandwich choices are there?

Explanation:

Step1: Count number of meats

There are 5 types of meats.

Step2: Count number of cheeses

There are 3 types of cheeses.

Step3: Count number of breads

There are 3 types of breads.

Step4: Use multiplication principle

The total number of sandwich choices is the product of the number of choices for each component. So we calculate \(5\times3\times3\).
\[5\times3\times3 = 45\]

Answer:

45