If you roll a 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 six-sided die, we first need to identify the total possible outcomes and the favorable outcomes for this event. A standard six-sided die has the numbers 1 through 6, giving us a total of six possible outcomes.

Next, we look for the outcomes that are greater than 4. These outcomes consist of the numbers 5 and 6. This means we have 2 favorable outcomes.

The probability of an event happening is calculated by taking the number of favorable outcomes and dividing it by the total number of possible outcomes. In this case, that calculation would be:

Favorable outcomes: 2 (rolling a 5 or a 6)

Total outcomes: 6 (the numbers 1, 2, 3, 4, 5, and 6)

The probability of rolling a number greater than 4 is therefore:

[

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

]

This simplifies to:

[

\frac{1}{3}

]

Thus, the correct probability of rolling a number greater than 4