Use the table to answer the question. 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

Answer 1

The theoretical probability of rolling a specific outcome on a fair six-sided die is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, there is 1 favorable outcome for rolling a 3, and there are 6 possible outcomes (1, 2, 3, 4, 5, 6).

The formula for theoretical probability is:

\[ P(\text{rolling a 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{6} \approx 0.167 \]

Therefore, the theoretical probability of rolling a 3 on your next roll is 0.167.