Use the following tree diagram and its' probabilities to answer the question: White -Watfe Gits Wheat Wale Ham 44Hash Browms 時 Whte Wetfle 35 Wheat 65 Waffe 15 White Waffle 56 Grts Bacon 44 Hash Browns Wheat- Waffle 65. Whte - Waffle 3 Wheat 65 Whte Waffle Wheat-Watfie 65 Whte-Weffe 35 Wheatwafte 42 Fried Waffe 43 55 56. Gnts Sausage 44 Hash Browns 65 Whte- watfle Grts Wheat-Wale 56 AS 65 White-walfe Hash Browns WhealWale Whte1 Wate Ham 44 15 65 58 Grts Bacon 44Hash Browns WheatWaffle 35 1. 65 White 42 Scrambled Wafle 35 Wheat Waffle 43 65 Whte- Walffle 56, Grts Wheat 65 White 44 Hash BrowrKWheat- Wafe 35 Waffle Waffle Sausage How many combinations of the Waffle House All-Star Special are available?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A. 100%

B. 3

C. 24

D. 29

**Understanding Probability with the Waffle House All-Star Special**

In this educational resource, we explore how to use a tree diagram and its associated probabilities to determine the number of combinations available for the Waffle House All-Star Special.

### Tree Diagram Explanation

The tree diagram is a visual representation that helps illustrate the different choices and associated probabilities involved in selecting the components of the All-Star Special. 

1. **First Choice: Egg Preparation**
   - Fried: Probability = 0.55
   - Scrambled: Probability = 0.45

2. **Second Choice: Meat Selection**
   - For each style of eggs (Fried or Scrambled), choose from:
     - Ham: Probability = 0.15
     - Bacon: Probability = 0.42
     - Sausage: Probability = 0.43

3. **Third Choice: Side Selection**
   - Depending on the meat choice, select:
     - Grits: Probability = 0.56
     - Hash Browns: Probability = 0.44

4. **Fourth Choice: Bread Selection**
   - For each side option, choose:
     - White Bread: Probability = 0.65
     - Wheat Bread: Probability = 0.35

5. **Fifth Choice: Waffle Inclusion**
   - Uniform option (Waffle): Probability = 1

### Question

How many combinations of the Waffle House All-Star Special are available?

### Analyzing the Diagram

- The tree branches illustrate every possible combination of choices, starting from egg preparation to the inclusion of a waffle.
- Each path from the start to the end of the tree represents a unique combination of the meal components.
- Multiplying the number of branches for each choice level gives us the total number of combinations.

### Conclusion

By following this tree diagram structure, you can calculate and understand the numerous combinations in the Waffle House All-Star Special, providing an insightful practical application of probability.
Transcribed Image Text:**Understanding Probability with the Waffle House All-Star Special** In this educational resource, we explore how to use a tree diagram and its associated probabilities to determine the number of combinations available for the Waffle House All-Star Special. ### Tree Diagram Explanation The tree diagram is a visual representation that helps illustrate the different choices and associated probabilities involved in selecting the components of the All-Star Special. 1. **First Choice: Egg Preparation** - Fried: Probability = 0.55 - Scrambled: Probability = 0.45 2. **Second Choice: Meat Selection** - For each style of eggs (Fried or Scrambled), choose from: - Ham: Probability = 0.15 - Bacon: Probability = 0.42 - Sausage: Probability = 0.43 3. **Third Choice: Side Selection** - Depending on the meat choice, select: - Grits: Probability = 0.56 - Hash Browns: Probability = 0.44 4. **Fourth Choice: Bread Selection** - For each side option, choose: - White Bread: Probability = 0.65 - Wheat Bread: Probability = 0.35 5. **Fifth Choice: Waffle Inclusion** - Uniform option (Waffle): Probability = 1 ### Question How many combinations of the Waffle House All-Star Special are available? ### Analyzing the Diagram - The tree branches illustrate every possible combination of choices, starting from egg preparation to the inclusion of a waffle. - Each path from the start to the end of the tree represents a unique combination of the meal components. - Multiplying the number of branches for each choice level gives us the total number of combinations. ### Conclusion By following this tree diagram structure, you can calculate and understand the numerous combinations in the Waffle House All-Star Special, providing an insightful practical application of probability.
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