You roll a single die once. What is the probability you will roll an odd number or an even number?
50%
Hmm. The way you asked it, the probability is 1. You have to roll an odd number or an even number!
To find the probability of rolling an odd number or an even number on a single die, we first need to determine the sample space, which is the set of all possible outcomes.
A standard die has six faces numbered 1, 2, 3, 4, 5, and 6. Therefore, the sample space of rolling the die is {1, 2, 3, 4, 5, 6}.
To find the probability of rolling an odd number or an even number, we need to count the favorable outcomes, which are the outcomes that satisfy the condition, and then divide it by the total number of possible outcomes.
There are three odd numbers (1, 3, 5) and three even numbers (2, 4, 6). So, the favorable outcomes for rolling an odd number or an even number are {1, 3, 5, 2, 4, 6}. Counting the elements in this set, we find that there are six favorable outcomes.
Therefore, the probability of rolling an odd number or an even number on a single die is 6/6, which simplifies to 1. So, the probability is 1 or 100%.