Kurt will roll a standard 6-sided die. What is the probability that he rolls a number less than 5?

Answer 1

To find the probability that Kurt rolls a number less than 5 on a standard 6-sided die, we first identify the total number of outcomes and the successful outcomes.

A standard 6-sided die has the numbers 1, 2, 3, 4, 5, and 6, which gives us a total of 6 possible outcomes.

Next, we determine which of these numbers are less than 5. The numbers that are less than 5 are 1, 2, 3, and 4. Thus, there are 4 successful outcomes.

The probability is calculated using the formula:

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

Substituting in the numbers:

$$\text{Probability}=\frac{4}{6}$$

This fraction can be simplified:

$$\frac{4}{6}=\frac{2}{3}$$

Therefore, the probability that Kurt rolls a number less than 5 is

$$\boxed{{\displaystyle \frac{2}{3}}}$$