b. What is the probability that the customer will order Pasta: Angel Hair Sauce: Five Cheese Marinara Topping: Crispy Chicken Fritta =0.16 180 What is the probability that the customer will not order Pasta: Angel Hair С. he Sauce: Five Cheese Marinara 13 .078 Topping: Crispy Chicken Fritta
b. What is the probability that the customer will order Pasta: Angel Hair Sauce: Five Cheese Marinara Topping: Crispy Chicken Fritta =0.16 180 What is the probability that the customer will not order Pasta: Angel Hair С. he Sauce: Five Cheese Marinara 13 .078 Topping: Crispy Chicken Fritta
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help with question 11B and 11C
![### Probability and Combinatorics in Everyday Scenarios
#### 10. Spinner Probability
A circle is divided into 8 equal sections labeled A, B, C, and D. The labels are distributed as follows: A, B, C, B, D, A, B, D. The task is to find the probability that if the spinner is spun, the arrow will land on section B.
- **Calculation**:
\[
\frac{3}{8} = 0.38
\]
#### 11. Olive Garden Pasta Special
You can choose one pasta, one sauce, and one topping from the menu at Olive Garden for $9.99. The menu options are:
- **Pasta**: Rigatoni, Spaghetti, Angel Hair, Whole Grain, Linguine, Gluten-Free Rotini
- **Sauces**: Traditional Marinara, Five Cheese Marinara, Traditional Meat Sauce, Creamy Pesto, Creamy Mushroom
- **Toppings**: Meatballs, Italian Sausage, Grilled Chicken, Crispy Chicken Fritta, Sautéed Shrimp, Garden Veggies
##### a. Calculating Combinations
To find out how many different ways you can create a pasta bowl:
- **Combinations Calculation**:
\[
6 \cdot 5 \cdot 6 = 180
\]
##### b. Specific Order Probability
Find the probability that a customer orders the combination of:
- **Pasta**: Angel Hair
- **Sauce**: Five Cheese Marinara
- **Topping**: Crispy Chicken Fritta
- **Probability Calculation**:
\[
\frac{1}{180} = 0.0056
\]
##### c. Probability of Not Ordering a Specific Combination
Find the probability that a customer will **not** order the combination of:
- **Pasta**: Angel Hair
- **Sauce**: Five Cheese Marinara
- **Topping**: Crispy Chicken Fritta
- **Probability Calculation**:
\[
\frac{179}{180} = 0.994
\]
#### 12. Event Probability Interpretation
Given \( P(E) = 0.8 \), what must be true about the event E?
- Options:
- a. Event E is impossible.
- b. Event E is possible](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e5add45-66fe-413e-9526-4f04ca0d4deb%2F863a7c74-0ad7-4186-8309-f35e176c833b%2Fhhpzup.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability and Combinatorics in Everyday Scenarios
#### 10. Spinner Probability
A circle is divided into 8 equal sections labeled A, B, C, and D. The labels are distributed as follows: A, B, C, B, D, A, B, D. The task is to find the probability that if the spinner is spun, the arrow will land on section B.
- **Calculation**:
\[
\frac{3}{8} = 0.38
\]
#### 11. Olive Garden Pasta Special
You can choose one pasta, one sauce, and one topping from the menu at Olive Garden for $9.99. The menu options are:
- **Pasta**: Rigatoni, Spaghetti, Angel Hair, Whole Grain, Linguine, Gluten-Free Rotini
- **Sauces**: Traditional Marinara, Five Cheese Marinara, Traditional Meat Sauce, Creamy Pesto, Creamy Mushroom
- **Toppings**: Meatballs, Italian Sausage, Grilled Chicken, Crispy Chicken Fritta, Sautéed Shrimp, Garden Veggies
##### a. Calculating Combinations
To find out how many different ways you can create a pasta bowl:
- **Combinations Calculation**:
\[
6 \cdot 5 \cdot 6 = 180
\]
##### b. Specific Order Probability
Find the probability that a customer orders the combination of:
- **Pasta**: Angel Hair
- **Sauce**: Five Cheese Marinara
- **Topping**: Crispy Chicken Fritta
- **Probability Calculation**:
\[
\frac{1}{180} = 0.0056
\]
##### c. Probability of Not Ordering a Specific Combination
Find the probability that a customer will **not** order the combination of:
- **Pasta**: Angel Hair
- **Sauce**: Five Cheese Marinara
- **Topping**: Crispy Chicken Fritta
- **Probability Calculation**:
\[
\frac{179}{180} = 0.994
\]
#### 12. Event Probability Interpretation
Given \( P(E) = 0.8 \), what must be true about the event E?
- Options:
- a. Event E is impossible.
- b. Event E is possible
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