Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for olives, B for bacon, E for eggs, V for vinaigrette, and H for honey mustard. 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: bacon, eggs. Lastly, you will decide on one of the following dressings: vinaigrette, honey mustard.

Answer: { (MBV), (MBH), (MEV), (MEH), (OBV), (OBH), (OEV), (OEH) }

Step-by-step explanation:

Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) = 2

Choices for meats (bacon, eggs) = 2

Choices for dressings (vinaigrette, honey mustard.) = 2

By Fundamental counting principal.

The number of different salads can be made = (Choices for extra toppings) x (Choices for meats) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH), (MEV), (MEH), (OBV), (OBH), (OEV), (OEH)

Required Sample space would be : { (MBV), (MBH), (MEV), (MEH), (OBV), (OBH), (OEV), (OEH) }