Help with #6 please **Probability Example #2:**At a restaurant, you get to choose an entrée and a side for your meal. Your entrée choices are fried chicken, beef roast, grilled fish, or vegetable pasta. Your side choices are mashed potatoes, wild rice, or a salad.1. **How many possible entrée and side combinations do you have to choose from?** - Total combinations: 12 (as calculated: 4 entrées x 3 sides)2. **List the sample space of all possible meal combinations:** - Grilled Fish, Mashed Potatoes - Grilled Fish, Wild Rice - Grilled Fish, Salad - Beef Roast, Mashed Potatoes - Beef Roast, Wild Rice - Beef Roast, Salad - Fried Chicken, Mashed Potatoes - Fried Chicken, Wild Rice - Fried Chicken, Salad - Veggie Pasta, Mashed Potatoes - Veggie Pasta, Wild Rice - Veggie Pasta, Salad3. **If someone randomly chooses their entrée and side, what is the probability they are having grilled fish and wild rice?** - Probability: $ \frac{1}{12} $4. **If someone randomly chooses their entrée and side, what is the probability they are having fried chicken as their entrée?** - Probability: $ \frac{4}{12} = 0.3333 $5. **If someone randomly chooses their entrée and side, what is the probability they are having beef roast or a salad?** - Probability for beef roast or salad: $ \frac{7}{12} = 0.5833 $6. **If someone randomly chooses their entrée and side, what is the probability they are not having mashed potatoes?** - Probability: Calculation needed. This example helps illustrate basic probability concepts using a real-world problem involving meal choices.

Answered: 6. If someone randomly chose there…

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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Help with #6 please

**Probability Example #2:**

At a restaurant, you get to choose an entrée and a side for your meal. Your entrée choices are fried chicken, beef roast, grilled fish, or vegetable pasta. Your side choices are mashed potatoes, wild rice, or a salad.

1. **How many possible entrée and side combinations do you have to choose from?**
- Total combinations: 12 (as calculated: 4 entrées x 3 sides)

2. **List the sample space of all possible meal combinations:**
- Grilled Fish, Mashed Potatoes
- Grilled Fish, Wild Rice
- Grilled Fish, Salad
- Beef Roast, Mashed Potatoes
- Beef Roast, Wild Rice
- Beef Roast, Salad
- Fried Chicken, Mashed Potatoes
- Fried Chicken, Wild Rice
- Fried Chicken, Salad
- Veggie Pasta, Mashed Potatoes
- Veggie Pasta, Wild Rice
- Veggie Pasta, Salad

3. **If someone randomly chooses their entrée and side, what is the probability they are having grilled fish and wild rice?**
- Probability: $ \frac{1}{12} $

4. **If someone randomly chooses their entrée and side, what is the probability they are having fried chicken as their entrée?**
- Probability: $ \frac{4}{12} = 0.3333 $

5. **If someone randomly chooses their entrée and side, what is the probability they are having beef roast or a salad?**
- Probability for beef roast or salad: $ \frac{7}{12} = 0.5833 $

6. **If someone randomly chooses their entrée and side, what is the probability they are not having mashed potatoes?**
- Probability: Calculation needed.

This example helps illustrate basic probability concepts using a real-world problem involving meal choices.

Expert Solution

Concepts

Combination:

Combination is nothing but the number of ways to choose r distinct objects from n(>r) distinct objects such that the sequence in which a selection is made does not matter. It is given by the formula $(\begin{matrix} n \\ r \end{matrix}) = \frac{n!}{(n - r)! r!}$ .

Probability:

For any event A, the classical definition of probability defines the probability of its occurrence, denoted by P(A), as the ratio $\frac{n (A)}{N}$ , where N denotes the number of elementary events in the sample space and n(A) denotes the number of elementary events favorable to event A.

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