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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

User Nitzan
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2 Answers

2 votes

Final answer:

The sample space for the person selected consists of six meal-beverage combinations. Subsequent parts of the question referencing specific food items like a 17-oz. piece of meat or pork chops cannot be answered without additional context.

Step-by-step explanation:

The question relates to the concept of sample spaces and probability which are foundational topics in high school Mathematics, particularly within the realm of statistics and probability. When a person from a group of twenty chooses a meal of either oatmeal, eggs, or pancakes, and a hot beverage of either coffee or tea, the sample space consists of all possible combinations of meals and beverages.

To list the sample space, we consider each meal paired with each possible beverage, which gives us six possible outcomes: oatmeal and coffee, oatmeal and tea, eggs and coffee, eggs and tea, pancakes and coffee, and pancakes and tea.

For the subsequent parts 'b' to 'd', the student's question seems to reference specific items like a 17-oz. piece of meat or a pork chop, which are not part of the initial scenario provided and therefore cannot be accurately addressed without additional context or information.

User SnowYetis
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6.3k points
2 votes

Answer:


S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),
(Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}

Step-by-step explanation:

Given


Meal = \{Oatmeal, Eggs, Pancakes\}


Beverage = \{Coffee, Tea\}

Required

Determine the sample space

The sample space is a list of combination of 1 meal and 1 beverage.

Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same

The sample space (S) is as follows:


S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),
(Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}

User Cameron Hudson
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