When you roll a six-sided die, it has six faces with the numbers 1, 2, 3, 4, 5, and 6 on them.

If we want to find out how likely it is to roll an even number, we first need to figure out which numbers are even. The even numbers on a die are:

• 2
• 4
• 6

So, there are 3 even numbers.

Next, let's look at how many possible outcomes there are when we roll the die. Since it has 6 faces, there are a total of 6 possible outcomes.

We can find out the chance (or probability) of something happening using this formula:

Probability (P) = Number of good outcomes / Total number of possible outcomes

In our case, the good outcomes are the even numbers (2, 4, 6), which means we have 3 good outcomes.

Now, we can put these numbers in our formula:

P(rolling an even number) = 3 / 6

Next, we can make this fraction simpler. If we divide both the top number (called the numerator) and the bottom number (called the denominator) by 3, we get:

P(rolling an even number) = 1 / 2

This tells us that there is a 1 in 2 chance, which is the same as 50%, of rolling an even number on a six-sided die.

To think about it in a different way: Imagine flipping a coin. You have a 50% chance of getting heads or tails, just like you have a 50% chance of rolling an even number on a die.

Isn’t that interesting? So, the next time you roll that die, remember that there's a good chance you'll roll an even number!