Question

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for olives, S for shrimp, E for eggs, V for vinaigrette, and F for French. 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, olives. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: vinaigrette, French.

Answer 1

Solution :

given data :-

M for mushrooms, O for olives, S for shrimp,

E for eggs,

V for vinaigrette,

and

F for French.

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, olives. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: vinaigrette, French.

Now we need to find out the sample space for the given experiment

let,

O = olives

M = mushrooms

E = eggs

S = shrimp

V = vinaigrette

F = French

For the supper, we can include any one garnishes among olives and mushrooms, anybody meat among eggs and shrimp lastly anybody

dressings among French and vinaigrette

That is, one can choose olives, eggs and French or olives, eggs and  vinaigrette

that is ,

lets we find out the sample space

given by,

( OEF, OEV, OSV, MEF, MSF, MSV )

The sample space is = ( OEF, OEV, OSV, MEF, MSF, MSV )