MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Topic Video
Question
![**Probability and Statistics: Introduction to Probability**
**Calculating the Probability of Rolling Specific Numbers on a 10-Sided Die**
When dealing with probability, especially with dice, we often want to calculate the likelihood of rolling certain numbers. Here's a specific scenario:
### Example Problem:
**If a single 10-sided die is tossed once, find the probability of rolling an 8 or a 3.**
**Solution:**
The probability is \_\_\_\_ (Type a whole number or a simplified fraction).
### Steps to Calculate:
1. **Identify the Total Number of Possible Outcomes:**
- Since it is a 10-sided die, there are 10 possible outcomes (each face has one distinct number from 1 to 10).
2. **Count the Favorable Outcomes:**
- Favorable outcomes are the specific numbers we are interested in: 8 or 3. Therefore, there are 2 favorable outcomes.
3. **Calculate the Probability:**
- Probability is given by the formula:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}}
\]
- Here, it becomes:
\[
\text{Probability} = \frac{2}{10} = \frac{1}{5}
\]
### Input Section:
The interface provides a boxed area where users can enter their answer in a simplified fraction or whole number format.
**Important Note:**
At the bottom, there's an input box to enter the answer and a button labeled "Check Answer" for verifying the submitted answer. There's also a progress indicator showing "All parts showing," and a 'Clear All' button for resetting the input.
---
This educational content allows students to engage in practical examples, helping them understand and calculate basic probabilities with dice, a key concept in probability and statistics.
#### Graphs and Diagrams Explanation:
There are no graphs or diagrams present in this image. However, understanding the placement of input fields and buttons is crucial for students to effectively interact with the content.](https://content.bartleby.com/qna-images/question/81d8afae-a4b5-4c3e-b6a2-80b9ed54a305/fd737792-fbf8-4052-b224-8471b0d0c201/wi38ya_reoriented.jpeg)
Transcribed Image Text:**Probability and Statistics: Introduction to Probability**
**Calculating the Probability of Rolling Specific Numbers on a 10-Sided Die**
When dealing with probability, especially with dice, we often want to calculate the likelihood of rolling certain numbers. Here's a specific scenario:
### Example Problem:
**If a single 10-sided die is tossed once, find the probability of rolling an 8 or a 3.**
**Solution:**
The probability is \_\_\_\_ (Type a whole number or a simplified fraction).
### Steps to Calculate:
1. **Identify the Total Number of Possible Outcomes:**
- Since it is a 10-sided die, there are 10 possible outcomes (each face has one distinct number from 1 to 10).
2. **Count the Favorable Outcomes:**
- Favorable outcomes are the specific numbers we are interested in: 8 or 3. Therefore, there are 2 favorable outcomes.
3. **Calculate the Probability:**
- Probability is given by the formula:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}}
\]
- Here, it becomes:
\[
\text{Probability} = \frac{2}{10} = \frac{1}{5}
\]
### Input Section:
The interface provides a boxed area where users can enter their answer in a simplified fraction or whole number format.
**Important Note:**
At the bottom, there's an input box to enter the answer and a button labeled "Check Answer" for verifying the submitted answer. There's also a progress indicator showing "All parts showing," and a 'Clear All' button for resetting the input.
---
This educational content allows students to engage in practical examples, helping them understand and calculate basic probabilities with dice, a key concept in probability and statistics.
#### Graphs and Diagrams Explanation:
There are no graphs or diagrams present in this image. However, understanding the placement of input fields and buttons is crucial for students to effectively interact with the content.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
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
- A die is being thrown twice. Find the probability of getting 5 and 1 in each respective throw.arrow_forwardYou roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number greater than 4 the second time.arrow_forwardFind the probability of getting a 2, 4, 5, or 6 when you roll a standard six-sided diearrow_forward
- Find the probability.A 6-sided die is rolled. What is the probability of rolling a number greater than 5?arrow_forwardYou are going to draw 5 cards (without replacement) from a standard deck of 52 playing cards. Find the probability that you will draw the 2 of diamonds first, 6 of hearts second, ace of spades third, jack of spades fourth, and king of clubs fifth.Write your answer as a simplified fraction.arrow_forwardStatistics Questionarrow_forward
- At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.arrow_forwardfind the probability that the educator is a male,given professorarrow_forwardFind the ODDS of rolling a fair die and getting a 5.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
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
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
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
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman