Question

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 experimental probability of rolling a 1 on your next roll? (1 point) Responses 0.1667 0.1667 0.1992 0.1992 0.245 0.245 0.3275

Answer 1

To calculate the experimental probability of rolling a 1 based on the results of your experiment, you can use the formula for experimental probability:

\[ P(\text{rolling a 1}) = \frac{\text{Frequency of rolling a 1}}{\text{Total number of rolls}} \]

From the table, the frequency of rolling a 1 is 245 and the total number of rolls is 1,230.

Now, substitute the values into the formula:

\[ P(\text{rolling a 1}) = \frac{245}{1230} \]

Next, calculate the probability:

\[ P(\text{rolling a 1}) \approx 0.1992 \]

Thus, the experimental probability of rolling a 1 on your next roll is approximately 0.1992.

So the correct response is 0.1992.