https://file.aiquickdraw.com/mathbot/file/1727281254119xezq35ub.jpg

Let's analyze the image. It shows a question about finding probabilities with a standard 6-sided die. Here's a breakdown of each part of the problem:

### 1. The number showing is a 3:
- A standard die has 6 faces: 1, 2, 3, 4, 5, 6.
- The probability of rolling a 3 is the number of favorable outcomes (1 outcome: rolling a 3) divided by the total number of outcomes (6 sides).
  
\[
P(\text{rolling a 3}) = \frac{1}{6}
\]

### 2. The number showing is an even number:
- The even numbers on a die are 2, 4, and 6. So, there are 3 favorable outcomes (2, 4, 6).
  
\[
P(\text{even number}) = \frac{3}{6} = \frac{1}{2}
\]

### 3. The number showing is greater than 4:
- The numbers greater than 4 are 5 and 6, so there are 2 favorable outcomes (5, 6).
  
\[
P(\text{number greater than 4}) = \frac{2}{6} = \frac{1}{3}
\]

### Summary of Answers:
1. Probability of rolling a 3: \( \frac{1}{6} \)
2. Probability of rolling an even number: \( \frac{1}{2} \)
3. Probability of rolling a number greater than 4: \( \frac{1}{3} \)

Do you have any questions or would you like more details on these probabilities?

Here are 5 related questions to practice:
1. What is the probability of rolling a number less than 3?
2. If two dice are rolled, what is the probability that both show a 3?
3. What is the probability of rolling an odd number on a standard die?
4. What is the probability of rolling a prime number on a standard die?
5. If the die is rolled twice, what is the probability that the second roll is greater than the first?

**Tip:** For any event involving a standard die, always divide the favorable outcomes by the total number of sides (which is 6).

A standard 6-sided die is rolled. Find the probability of the given events: 1. The number showing is a 3; 2. The number showing is an even number; 3. The number showing is greater than 4.

Learn how to calculate the probability of rolling specific outcomes on a standard 6-sided die, including finding the chance of rolling a 3, an even number, or a number greater than 4. Understand basic probability concepts and formulas suitable for middle school students.

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