Final answer:
The probability of rolling an even number on a six-sided unbiased die is 1/2, since there are 3 even numbers (2, 4, 6) and 6 possible outcomes in total.
Step-by-step explanation:
The probability of rolling an even number on a six-faced unbiased die can be calculated by understanding the sample space and identifying the favorable outcomes. The sample space of a six-sided die is {1, 2, 3, 4, 5, 6}. There are three even numbers in this set: 2, 4, and 6, which we will denote as event B = {2, 4, 6}. Since each face is equally likely to come up due to the die being fair, the probability of rolling an even number (event B) is simply the number of favorable outcomes for event B, which is 3, divided by the total number of outcomes in the sample space, which is 6.
Therefore, the probability of rolling an even number is:
P(B) = Number of favorable outcomes for event B / Total number of outcomes = 3/6 = 1/2.