Question

Appetizers are veggie plate, salad, or soup. entrees are steak, chicken, or fish. drinks are water, lemonade, and iced tea. brian is choosing an appetizer, an entrée, and a drink. if he chooses an item from each list at random, what is the probability that he chooses soup, chicken, and iced tea?

a) total number of possible outcomes =
b) number of favorable outcomes =
c) probability =

Answer 1

To find the probability of choosing soup, chicken, and iced tea, we can calculate the total number of possible outcomes and the number of favorable outcomes. There is only one favorable outcome and a total of 27 possible outcomes, resulting in a probability of 1/27.

Step-by-step explanation:

To find the probability that Brian chooses soup, chicken, and iced tea, we need to find the total number of possible outcomes and the number of favorable outcomes.

a) The sample space of possible items that are on the menu can be listed as: {veggie plate, salad, soup} × {steak, chicken, fish} × {water, lemonade, iced tea}.

So, the total number of possible outcomes is 3 × 3 × 3 = 27.

b) Since Brian wants to choose soup, chicken, and iced tea, there is only one favorable outcome.

c) The probability is given by the number of favorable outcomes divided by the total number of possible outcomes. So, the probability is 1/27.