Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for asparagus, B for bacon, T for turkey, F for French, and R for the ranch. 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 the following meats: bacon, turkey. Lastly, you will decide on one of the following dressings: French, ranch.

Respuesta :

Answer:

The sample space (S) = {FBM, FBA, FTM, FTA, RBM, RBA, RTM, RTA}

Step-by-step explanation:

Each cases has two (2) possible outcome, and there are three (3) cases.

M for mushrooms, A for asparagus, B for bacon, T for turkey, F for French, and R for the ranch.

The means we have:

===> [tex]2^{3}[/tex] = 8 possible outcomes

Lets take two (2) first, then we take the third case.

       M | A

B|   BM | BA

T|   TM | TA

Then,

          BM | BA | TM | TA

F     |  FBM | FBA | FTM | FTA

R     |  RBM | RBA | RTM | RTA

Therefore, the sample space (S) = {FBM, FBA, FTM, FTA, RBM, RBA, RTM, RTA}.  This is how we come-by the sample space (S) above.