To find the probability of rolling an even number on a six-sided die, follow these steps:

Step 1: Identify the favorable outcomes.

A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6. So, there are 3 favorable outcomes.

Step 2: Determine the total number of possible outcomes.

The die has 6 sides, so there are 6 possible outcomes.

Step 3: Apply the probability formula.

$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$P(\text{even number}) = \frac{3}{6} = \frac{1}{2}$

So, the probability of rolling an even number on a six-sided die is $\frac{1}{2}$ or 0.5.

Would you like to go deeper into this topic or explore related concepts?

Here are 8 questions related to this topic:

1. What is the probability of rolling an odd number on a six-sided die?
2. How do you calculate the probability of rolling a number greater than 4?
3. What is the probability of rolling a 2 or a 5 on a six-sided die?
4. How would the probability change if the die were biased?
5. What is the probability of rolling two even numbers in a row?
6. How do you calculate the probability of not rolling a 3?
7. What is the probability of rolling a prime number on a six-sided die?
8. How do you calculate the probability of rolling a specific number three times in a row?

Tip: When calculating probabilities, always ensure that all possible outcomes are equally likely, especially when dealing with theoretical probability.