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)}
÷12=2