https://file.aiquickdraw.com/mathbot/file/1726433212774e9aj4igb.jpg

The question asks to find the odds in favor of rolling a number greater than 2 on a fair die and the probability of the given event. Let's break it down:

### 1. **Total Possible Outcomes**:
A fair die has 6 faces with numbers 1 through 6, so there are 6 possible outcomes.

### 2. **Favorable Outcomes**:
To find the odds in favor of rolling a number greater than 2, the favorable outcomes are 3, 4, 5, and 6. That's 4 favorable outcomes.

### 3. **Unfavorable Outcomes**:
The numbers less than or equal to 2 are 1 and 2. So, there are 2 unfavorable outcomes.

### 4. **Odds in Favor**:
The odds in favor of rolling a number greater than 2 are given by:
\[
\text{Odds in favor} = \frac{\text{Number of favorable outcomes}}{\text{Number of unfavorable outcomes}} = \frac{4}{2} = 2:1
\]
Thus, the odds in favor are **2:1**.

### 5. **Probability**:
The probability of rolling a number greater than 2 is the ratio of favorable outcomes to the total possible outcomes:
\[
\text{Probability} = \frac{4}{6} = \frac{2}{3}
\]
So, the probability is **\(\frac{2}{3}\)**.

Let me know if you would like further details or have questions!

Here are 5 related questions to consider:
1. What are the odds in favor of rolling an even number on a fair die?
2. What is the probability of rolling a number less than or equal to 3 on a fair die?
3. How do odds and probability differ in concept?
4. What are the odds against rolling a number greater than 4?
5. Can odds ever be expressed as a decimal, and if so, how?

**Tip**: When calculating odds, remember that they compare favorable to unfavorable outcomes, whereas probability compares favorable outcomes to total outcomes.

A single fair die is tossed. Find the odds in favor of rolling a number greater than 2.

Learn how to calculate the odds in favor of rolling a number greater than 2 on a fair die. This problem covers key probability concepts such as odds and the relationship between favorable and unfavorable outcomes. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation