The possible outcomes for rolling a pair of fair dice are shown below. 2 3 4 5 6 7 3 4 6 7 8 4 5 7 8 9 6. 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12 What is the probability of rolling a sum of seven? OA. 1 А. 6 7. 18 7 Oc. 36 D. ... .. .. .. .. .. .. ... • •. . ... CNIO B.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Practice Pack
### Rolling a Pair of Dice: Probability Calculation

When rolling a pair of fair dice, the possible outcomes range from a sum of 2 to a sum of 12. Below is a matrix that showcases all the potential sums obtained by rolling two dice.

#### Outcomes Matrix

The matrix shows the sums of two dice where one die represents the values along the top row and the other die represents the values along the left column. Each cell inside the matrix represents the sum of the two dice.

|    |  1  |  2  |  3  |  4  |  5  |  6  |
|----|-----|-----|-----|-----|-----|-----|
| **1** |  2  |  3  |  4  |  5  |  6  |  7  |
| **2** |  3  |  4  |  5  |  6  |  7  |  8  |
| **3** |  4  |  5  |  6  |  7  |  8  |  9  |
| **4** |  5  |  6  |  7  |  8  |  9  | 10  |
| **5** |  6  |  7  |  8  |  9  | 10  | 11  |
| **6** |  7  |  8  |  9  | 10  | 11  | 12  |  
  
#### Probability Question

The question asks: *What is the probability of rolling a sum of seven?*

Options provided are:
- **A.** \(\frac{1}{6}\)
- **B.** \(\frac{7}{18}\)
- **C.** \(\frac{7}{36}\)
- **D.** \(\frac{2}{9}\)

To solve this, we need to count the number of ways to get a sum of 7 out of all possible outcomes:
- (1, 6)
- (2, 5)
- (3, 4)
- (4, 3)
- (5, 2)
- (6, 1)

There
Transcribed Image Text:### Rolling a Pair of Dice: Probability Calculation When rolling a pair of fair dice, the possible outcomes range from a sum of 2 to a sum of 12. Below is a matrix that showcases all the potential sums obtained by rolling two dice. #### Outcomes Matrix The matrix shows the sums of two dice where one die represents the values along the top row and the other die represents the values along the left column. Each cell inside the matrix represents the sum of the two dice. | | 1 | 2 | 3 | 4 | 5 | 6 | |----|-----|-----|-----|-----|-----|-----| | **1** | 2 | 3 | 4 | 5 | 6 | 7 | | **2** | 3 | 4 | 5 | 6 | 7 | 8 | | **3** | 4 | 5 | 6 | 7 | 8 | 9 | | **4** | 5 | 6 | 7 | 8 | 9 | 10 | | **5** | 6 | 7 | 8 | 9 | 10 | 11 | | **6** | 7 | 8 | 9 | 10 | 11 | 12 | #### Probability Question The question asks: *What is the probability of rolling a sum of seven?* Options provided are: - **A.** \(\frac{1}{6}\) - **B.** \(\frac{7}{18}\) - **C.** \(\frac{7}{36}\) - **D.** \(\frac{2}{9}\) To solve this, we need to count the number of ways to get a sum of 7 out of all possible outcomes: - (1, 6) - (2, 5) - (3, 4) - (4, 3) - (5, 2) - (6, 1) There
Expert Solution
video

Learn your way

Includes step-by-step video

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman