Question
se 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
0.3275
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
0.3275
Answers
GPT-4o mini
To calculate the experimental probability of rolling a 1 based on the results of the experiment, you use the formula:
\[
\text{Experimental Probability} = \frac{\text{Frequency of the outcome}}{\text{Total number of trials}}
\]
From the table, the frequency of rolling a 1 is 245, and the total number of rolls is 1,230.
Now, plug in the numbers:
\[
\text{Experimental Probability of rolling a 1} = \frac{245}{1230}
\]
Calculating this gives:
\[
\frac{245}{1230} \approx 0.1992
\]
Thus, the experimental probability of rolling a 1 on your next roll is approximately **0.1992**.
\[
\text{Experimental Probability} = \frac{\text{Frequency of the outcome}}{\text{Total number of trials}}
\]
From the table, the frequency of rolling a 1 is 245, and the total number of rolls is 1,230.
Now, plug in the numbers:
\[
\text{Experimental Probability of rolling a 1} = \frac{245}{1230}
\]
Calculating this gives:
\[
\frac{245}{1230} \approx 0.1992
\]
Thus, the experimental probability of rolling a 1 on your next roll is approximately **0.1992**.