Question
What is the theoretical probability of rolling 5 on a fair 6-sided cube?
(1 Point)
0
1/6
5/6
1/2
(1 Point)
0
1/6
5/6
1/2
Answers
GPT-4o mini
The theoretical probability of rolling a specific number on a fair 6-sided die (cube) is calculated as the number of favorable outcomes divided by the total number of possible outcomes.
In this case:
- The number of favorable outcomes for rolling a 5 is 1 (there is only one side with a 5).
- The total number of possible outcomes when rolling a 6-sided die is 6.
So, the probability \( P \) of rolling a 5 is:
\[
P(rolling \, a \, 5) = \frac{1}{6}
\]
Therefore, the correct answer is:
**1/6**
In this case:
- The number of favorable outcomes for rolling a 5 is 1 (there is only one side with a 5).
- The total number of possible outcomes when rolling a 6-sided die is 6.
So, the probability \( P \) of rolling a 5 is:
\[
P(rolling \, a \, 5) = \frac{1}{6}
\]
Therefore, the correct answer is:
**1/6**