Question
Kurt will roll a standard 6-sided die. What is the probability that he rolls a number less than 5?
Answers
GPT-4o mini
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
\[
\boxed{\frac{2}{3}}
\]
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
\[
\boxed{\frac{2}{3}}
\]