If a die is rolled, what is the probability of rolling an even number?

If a die is rolled, what is the probability of rolling an even number?

Step 1: Understand that a die has 6 sides, numbered from 1 to 6.
Step 2: Identify the even numbers on the die. The even numbers are 2, 4, and 6.
Step 3: Count the total number of even numbers. There are 3 even numbers (2, 4, 6).
Step 4: Count the total number of possible outcomes when rolling a die. There are 6 possible outcomes (1, 2, 3, 4, 5, 6).
Step 5: Calculate the probability of rolling an even number using the formula: Probability = Number of even outcomes / Total outcomes.
Step 6: Substitute the numbers into the formula: Probability = 3 (even outcomes) / 6 (total outcomes).
Step 7: Simplify the fraction: 3/6 = 1/2.

Probability – Understanding the likelihood of an event occurring, calculated as the ratio of favorable outcomes to total possible outcomes.
Even Numbers – Identifying even numbers within a given set, in this case, the numbers on a standard die.
Sample Space – Recognizing the total number of outcomes when rolling a die, which is 6.