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:

Top of Table
Result Frequency

1 245

2 172

3 219

4 201

5 137

6 256
Bottom of Table

What is the experimental probability of rolling a 1 on your next roll?

Answers below:
0.1667

0.1992

0.245

0.3275

Answer 1

To calculate the experimental probability of rolling a 1, you will use the formula for experimental probability:

\[
\text{Experimental Probability} = \frac{\text{Frequency of the desired outcome}}{\text{Total number of trials}}
\]

In this case, the frequency of rolling a 1 is 245, and the total number of rolls is 1,230.

Now, plug in the values:

\[
\text{Experimental Probability of rolling a 1} = \frac{245}{1230}
\]

Now, calculate that fraction:

\[
\frac{245}{1230} \approx 0.1992
\]

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