What is the probability of not rolling a number larger than 4 with a fair die?

4/6 = 2/3

To calculate the probability of not rolling a number larger than 4 with a fair die, we can count the favorable outcomes (rolling a number less than or equal to 4) and divide it by the total number of possible outcomes.

A fair die has six sides numbered from 1 to 6. Since we want to find the probability of not rolling a number larger than 4, we need to count the favorable outcomes, which are the numbers 1, 2, 3, and 4. There are four favorable outcomes.

The total number of possible outcomes when rolling a fair die is six since there are six different sides with numbers.

Therefore, the probability of not rolling a number larger than 4 can be calculated as:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 4 / 6
= 2 / 3

So, the probability of not rolling a number larger than 4 with a fair die is 2/3, or approximately 0.67.