Problem

A cafeteria offers a three-course meal consisting of an entree, a starch, and a dessert. T...

A cafeteria offers a three-course meal consisting of an entree, a starch, and a dessert. The possible choices are given in the following table:

Course

Choices

Entree

Chicken or roast beef

Starch

Pasta or rice or potatoes

Dessert

Ice cream or Jello or apple pie or a peach

A person is to choose one course from each category.

(a) How many outcomes are in the sample space?


(b) Let A be the event that ice cream is chosen. How many outcomes are in A?


(c) Let B be the event that chicken is chosen. How many outcomes are in B?


(d) List all the outcomes in the event AB.


(e) Let C be the event that rice is chosen. How many outcomes are in C?


(f) List all the outcomes in the event ABC.

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