Question
What is the theoretical probability of rolling a 3 on a fair six-sided die?
The theoretical probability of rolling a 3 on a fair six-sided die is 0.1.
The theoretical probability of rolling a 3 on a fair six-sided die is 0.2.
The theoretical probability of rolling a 3 on a fair six-sided die is 0.1667.
The theoretical probability of rolling a 3 on a fair six-sided die is 0.25.
The theoretical probability of rolling a 3 on a fair six-sided die is 0.1.
The theoretical probability of rolling a 3 on a fair six-sided die is 0.2.
The theoretical probability of rolling a 3 on a fair six-sided die is 0.1667.
The theoretical probability of rolling a 3 on a fair six-sided die is 0.25.
Answers
GPT-4o mini
The theoretical probability of rolling a 3 on a fair six-sided die can be calculated using the formula for probability:
\[
P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
For a fair six-sided die:
- The number of favorable outcomes (rolling a 3) is 1.
- The total number of outcomes (the sides of the die) is 6.
Thus, the probability \(P(rolling \, a \, 3)\) is:
\[
P(rolling \, a \, 3) = \frac{1}{6} \approx 0.1667
\]
Therefore, the correct answer is: **The theoretical probability of rolling a 3 on a fair six-sided die is 0.1667.**
\[
P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
For a fair six-sided die:
- The number of favorable outcomes (rolling a 3) is 1.
- The total number of outcomes (the sides of the die) is 6.
Thus, the probability \(P(rolling \, a \, 3)\) is:
\[
P(rolling \, a \, 3) = \frac{1}{6} \approx 0.1667
\]
Therefore, the correct answer is: **The theoretical probability of rolling a 3 on a fair six-sided die is 0.1667.**