Question

Find the indicated probability. Round your answer to 6 decimal places when necessary
What is the probability of not rolling a number larger than 4 with a fair die?

Answer 1

A fair die has 6 sides, numbered 1 to 6. The numbers larger than 4 are 5 and 6. So, the probability of not rolling a number larger than 4 is the same as the probability of rolling a number from 1 to 4.

Since each side of the die is equally likely to come up, the probability of rolling a number from 1 to 4 is 4 out of 6.

The probability of not rolling a number larger than 4 is:

4/6 = 2/3

Rounded to 6 decimal places: 0.666667