Question
When rolling a die (number cube), what is the probability of rolling a 2 or a 3?
Answers
GPT-4o mini
When rolling a standard six-sided die, the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6.
To find the probability of rolling a 2 or a 3, we first identify the favorable outcomes. The favorable outcomes in this case are rolling a 2 or rolling a 3, which gives us 2 favorable outcomes.
The total number of possible outcomes when rolling a die is 6.
The probability \( P \) of rolling a 2 or a 3 is calculated using the formula:
\[
P(\text{rolling a 2 or a 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{6}
\]
This can be simplified:
\[
P(\text{rolling a 2 or a 3}) = \frac{1}{3}
\]
Therefore, the probability of rolling a 2 or a 3 is \( \frac{1}{3} \).
To find the probability of rolling a 2 or a 3, we first identify the favorable outcomes. The favorable outcomes in this case are rolling a 2 or rolling a 3, which gives us 2 favorable outcomes.
The total number of possible outcomes when rolling a die is 6.
The probability \( P \) of rolling a 2 or a 3 is calculated using the formula:
\[
P(\text{rolling a 2 or a 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{6}
\]
This can be simplified:
\[
P(\text{rolling a 2 or a 3}) = \frac{1}{3}
\]
Therefore, the probability of rolling a 2 or a 3 is \( \frac{1}{3} \).