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)}

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

MrRoyal MrRoyal · Answer 2 · 2021-12-09T12:31:04+01:00

The sample space of a distribution is the list of possible options.

The sample space for the meal and the beverage is (a) {(oatmeal, coffee), (oatmeal, tea), (eggs, coffee), (eggs, tea), (pancakes, coffee), (pancakes, tea)

From the question, the meals are:

Meals: Oatmeal, Eggs, Pancakes

And the beverages are:

Beverages: Coffee, Tea

This means that, the available selections are:

Oatmeal and Coffee
Oatmeal and Tea
Eggs and Coffee
Eggs and Tea
Pancakes and Coffee
Pancakes and Tea

Hence, the sample space is (a)