Question

What is the probability of rolling a number less than 3 on a fair six-sided die?

Answer 1

A fair six-sided die has the numbers 1 through 6 on its faces. The numbers that are less than 3 are 1 and 2.

To find the probability of rolling a number less than 3, we can use the formula:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]

In this case:
- The number of favorable outcomes (rolling a 1 or a 2) is 2.
- The total number of possible outcomes (the six faces of the die) is 6.

Therefore, the probability is:

\[
\text{Probability} = \frac{2}{6} = \frac{1}{3}
\]

So, the probability of rolling a number less than 3 on a fair six-sided die is \(\frac{1}{3}\).