If a person rolls a standard six-sided die, what is the probability of rolling a number greater than 4?

To determine the probability of rolling a number greater than 4 on a standard six-sided die, we first identify the possible outcomes of rolling the die, which are the numbers 1, 2, 3, 4, 5, and 6. The total number of outcomes is therefore 6.

Next, we look for the numbers that satisfy the condition of being greater than 4. The only numbers that are greater than 4 on a six-sided die are 5 and 6. This means there are 2 favorable outcomes.

The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the probability of rolling a number greater than 4 is given by:

[

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

]

The correct answer is 1/3.