Question

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? total number of possible outcomes = number of favorable outcomes = probability = 1/27 2/27 1/3 2/3 appetizers: veggie plate, salad, soup entrées: steak, chicken, fish drinks: water, lemonade, iced tea

Explanation:

Step1: Calculate total outcomes

Use the counting - principle. There are 3 appetizers, 3 entrees and 3 drinks. So the total number of possible outcomes is $3\times3\times3 = 27$.

Step2: Determine favorable outcomes

There is only 1 way to choose soup as an appetizer, 1 way to choose chicken as an entree and 1 way to choose iced tea as a drink. So the number of favorable outcomes is $1\times1\times1=1$.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$. So $P = \frac{1}{27}$.

Answer:

Total number of possible outcomes = 27
Number of favorable outcomes = 1
Probability = 1/27