If you rolled a die, what is the probability of rolling a number less than 4?

To determine the probability of rolling a number less than 4 on a die, we first identify the relevant outcomes. A standard six-sided die has the numbers 1 through 6. The numbers less than 4 in this set are 1, 2, and 3.

There are a total of three favorable outcomes (rolling a 1, 2, or 3) out of six possible outcomes (1, 2, 3, 4, 5, and 6). The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Thus, the probability is:

[

\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{6} = \frac{1}{2}

]

This indicates that rolling a number less than 4 has a probability of 1/2, which reflects that out of every two rolls, on average, one roll will result in a number less than 4.

The rationale allows for clarity that the probability is significant and straightforward when considering the fairness of the die, and it illustrates the reasoning behind the numerical results in the context of