Rebecca will roll a standard 6-sided die. What is the probability that she rolls a number greater than 3?

Answer 1

To find the probability that Rebecca rolls a number greater than 3 on a standard 6-sided die, we first need to identify the total possible outcomes and the favorable outcomes.

A standard 6-sided die has the numbers: 1, 2, 3, 4, 5, and 6.

The total number of outcomes when rolling the die is:

$$6$$

Next, we need to determine the favorable outcomes where the rolled number is greater than 3. The favorable outcomes are:

$$4,5,6$$

This gives us a total of:

$$3\text{ favorable outcomes}$$

Now, we calculate the probability using the formula:

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

Substituting the values we found:

$$\text{Probability}=\frac{3}{6}=\frac{1}{2}$$

Thus, the probability that Rebecca rolls a number greater than 3 is:

$$\boxed{{\displaystyle \frac{1}{2}}}$$