You conduct an experiment where you roll a die and record the results. You roll the die 1,230 times, and the results are shown in the table below:
Result Frequency
1 245
2 172
3 219
4 201
5 137
6 256
What is the theoretical probability of rolling a 3 on your next roll?
(1 point)
Responses
0.167
0.167
0.178
0.178
0.245
0.245
0.333
1 answer
The theoretical probability of rolling a particular number on a fair six-sided die is calculated by dividing the number of favorable outcomes (in this case, rolling a 3) by the total number of possible outcomes.
Since a die has 6 faces, the theoretical probability \( P \) of rolling a 3 is:
\[ P(3) = \frac{1}{6} \approx 0.167 \]
Thus, the correct response is:
0.167
