hannahbear2697 hannahbear2697

20-10-2021
Mathematics

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Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, A for asparagus, B for bacon, 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: olives, asparagus. Also, you will add one of following meats: bacon, eggs. Lastly, you will decide on one of the following dressings: vinaigrette, French.,

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sandfortscott4 sandfortscott4

20-10-2021

Answer:

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)}

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