Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person will be selected at random from the twenty people. What is the sample space for the meal and beverage for the person selected?

1. { (oatmeal, coffee), (oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes, tea) }2. { (oatmeal, pancakes), (oatmeal, eggs), (eggs, pancakes), (coffee, tea) }3. { (coffee, tea, oatmeal), (coffee, tea, eggs), (coffee, tea, pancakes) }4. {oatmeal, coffee, pancakes, eggs, tea}5. { (oatmeal, eggs, pancakes), (coffee, tea) }

{ (oatmeal, coffee), (oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes, tea)

Step-by-step explanation:

Sample space is the set of all possible outcomes of an experiment.

Here a person should choose one meal and a hot drink. Hence, each element in the set includes one meal and one beverage, which eliminates 2, because it indicates person choses oatmeal and pancakes which has no beverage. Sets should have elements in pairs so, We should eliminate 3,4,5.

As a result person can choose

oatmeal as meal and coffee as drink

oatmeal as meal and tea for drink

eggs for meal tea for drink

eggs for meal coffee for drink

pancakes for meal tea for drink finally

pancakes for meal and coffee for drink