Sometimes, being able to work backward can be a great tool for understanding.  In this discussion, you will start with the answer and think backward to write your own question. Come up with a word problem whose probability answer is either ⅙, ¼ or ⅓.  Come up with your own unique question and then work it out for us. You may use a video or write it down and work it out.

Let's create a word problem where the probability answer is **⅙**.

### Problem:
A six-sided die is rolled once. What is the probability that the die shows a **3**?

### Solution:
1. **Step 1**: Understand the structure of the problem.
   - A standard six-sided die has the numbers 1 through 6.
   - Each outcome is equally likely when rolling a fair die.

2. **Step 2**: Identify the event of interest.
   - We are interested in the event where the die shows a 3.

3. **Step 3**: Calculate the probability.
   - The total number of possible outcomes when rolling the die is 6 (since there are 6 sides on the die).
   - The favorable outcome is rolling a 3, which is just one side.

4. **Step 4**: Use the formula for probability:
   \[
   \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
   \]
   \[
   \text{Probability of rolling a 3} = \frac{1}{6}
   \]

So, the probability of rolling a 3 on a six-sided die is **⅙**.

---

### Summary:
- **Answer**: The probability is **⅙**.
- **Question**: What is the probability of rolling a 3 on a six-sided die?

Would you like to discuss any further details or clarification?

Here are 5 relative questions:
1. What would the probability be of rolling a 1 or a 2 on the same die?
2. How would the probability change if the die had 8 sides?
3. What is the probability of rolling an even number on a six-sided die?
4. If you roll two dice, what is the probability of rolling a sum of 7?
5. How does probability change when dealing with biased dice?

**Tip**: When dealing with probability, always make sure the total number of possible outcomes is clearly understood!

Sometimes, being able to work backward can be a great tool for understanding. In this discussion, you will start with the answer and think backward to write your own question. Come up with a word problem whose probability answer is either ⅙, ¼ or ⅓. Come up with your own unique question and then work it out for us.

Explore how to solve a probability problem where the answer is 1/6. This word problem uses basic combinatorics and probability theory to calculate the chance of rolling a 3 on a six-sided die. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation