Question

At the China Panda, if you order the family dinner, you choose one appetizer, one soup, and one main dish from the menu below.

Appetizer                    Soups

Egg Rolls                       Won-ton

Fried Won-tons           Sizzling Rice

                  Main Dishes

               Almond Chicken

            Sweet & Sour Pork

              Beef with Broccoli

1. Suppose you ask the restaurant to choose the meal for you. What is the probability of getting the egg roll, won-ton, and almond chicken for your meal?
2. Use the counting principle to find the number of possible dinners?

Answer 1

(a) Probability = Favorable Outcomes / Total Outcomes

P(egg Roll) 1/2

P(Won Ton) = 1/2

P(Almond Chicken) = 1/3

Therefore the required probability = 1/2 * 1/2 * 1/3 = 1 / 12 = 0.083

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(b) The counting principle says that if there a ways of doing one thing and b ways of doing another thing and so on, then the total number of ways = a * b * ...

Simlarly, there are 2 ways of choosing an appetizer, 2 ways of choosing a soup and three ways of choosing a main course. Therefore the total number of ways = 2 * 2 * 3 = 12

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