Question

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for asparagus, T for turkey, P for pepperoni, R for ranch, and V for vinaigrette.
When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, asparagus. Also, you will add one of following meats: turkey, pepperoni. Lastly, you will decide on one of the following dressings: ranch, vinaigrette.

Answer 1

Answer:

Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}

Step-by-step explanation:

When they ask for the sample space they want to know all the possible combinations for:

Toppings                         Meats                      Dressings

M = Mushrooms              T = Turkey               R = Ranch

A = Asparagus                P = Pepperoni          V = Vinaigrette

The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.

After that you just follow each of the lines to make all the posible combinations form which we get:

Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}

Answer 2

Using it's concept, it is found that the sample space for this experiment is given as follows:

{(M, T, R), (M, T, V), (M, P, R), (M, P, V), (A, T, R), (A, T, V), (A, P, R), (A, P, V)}.

What is the sample space of an experiment?

The sample space is the set that contains all possible outcomes for an experiment.

In this problem, there are 3 choices, each with 2 options, hence the sample space has 2³ = 8 elements, which are as follows:

{(M, T, R), (M, T, V), (M, P, R), (M, P, V), (A, T, R), (A, T, V), (A, P, R), (A, P, V)}.

More can be learned about the sample space concept at https://brainly.com/question/25861936