Final answer:
The probability of rolling different numbers on a fair six-sided die can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Step-by-step explanation:
The probability of an event occurring is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, a fair six-sided die is rolled, so there are 6 possible outcomes.
1) The probability of rolling a specific number, such as a 1, is 1 out of 6, or 1/6.
2) The probability of rolling a number that is at least five is 2 out of 6, or 1/3. This is because there are two favorable outcomes (rolling a 5 or 6) out of the six possible outcomes.
3) The probability of rolling an even number, such as a 2, 4, or 6, is 3 out of 6, or 1/2. This is because there are three favorable outcomes (rolling a 2, 4, or 6) out of the six possible outcomes.
4) The probability of rolling an odd number, such as a 1, 3, or 5, is also 3 out of 6, or 1/2. This is because there are three favorable outcomes (rolling a 1, 3, or 5) out of the six possible outcomes.