A die is rolled. Find the probability of the given event.

The number showing is an even number;
The probability is :

To find the probability of getting an even number when rolling a fair die, we need to determine the number of favorable outcomes and the total number of possible outcomes.

In this case, the favorable outcomes are the numbers 2, 4, and 6, since these are the even numbers that can appear when rolling a die.

The total number of possible outcomes when rolling a die is 6, since there are 6 sides on a die and each side has a different number.

Therefore, the probability of rolling an even number is:

Number of favorable outcomes/Total number of possible outcomes
= 3/6 = 1/2

So, the probability of rolling an even number is 1/2 or 50%.

To find the probability of rolling an even number on a die, we need to determine the number of favorable outcomes (rolling an even number) and the total number of possible outcomes.

In this case, a die has 6 sides, numbered 1 to 6. Out of these 6 possible outcomes, the even numbers are 2, 4, and 6.

Therefore, the number of favorable outcomes is 3, and the total number of possible outcomes is 6.

The probability of rolling an even number on the die can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 3 / 6
Probability = 1/2 or 0.5

So, the probability of rolling an even number on a die is 1/2 or 0.5, which is also equivalent to 50%.

There are 6 sides

1,2,3,4,5,6
three of those are even
3/6 = 1/2 = 0.5

1/2