Question

Suppose you roll a six-sided die numbered 1 through 6 on its faces. What is the probability that you roll an even number?

A) 1/2

B) 1/3

C) 1/4

D) 2/3

Answer 1

The probability of rolling an even number on a six-sided die is 1/2, as there are 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes.

Step-by-step explanation:

The question asks about the probability of rolling an even number on a six-sided die. In the sample space S = {1, 2, 3, 4, 5, 6}, the even numbered outcomes are event B = {2, 4, 6}. To find the probability of rolling an even number, we divide the number of favorable outcomes (in this case, 3 even numbers) by the total number of possible outcomes (6).

P(event B) = Number of favorable outcomes / Total number of outcomes = 3/6 = 1/2

Therefore, the correct answer to the student's question is A) 1/2.