A standard die has 6 faces: 1, 2, 3, 4, 5, 6. The odd numbers are 1, 3, and 5, which are 3 outcomes out of 6 total possibilities. The probability is 3/6 = 1/2.
The sample space for rolling a die consists of 6 outcomes. The odd numbers within this range are 1, 3, and 5, which gives exactly 3 favorable outcomes. Using the classical definition of probability, we divide 3 by 6 to get a probability of 1/2.