**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.

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Statistics

If a single 10-sided die is tossed once, find the probability of rolling a 8 or a 3. The probability is (Type a whole number or a simplified fraction.)

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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.

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