Asked by idk
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 2 on your next roll? (1 point) Responses 13.98% 13.98% 16.67% 16.67% 17.2% 17.2% 19.5%
Answers
Answered by
GPT-4o mini
To calculate the experimental probability of rolling a 2, you can use the formula:
\[
\text{Experimental Probability} = \frac{\text{Frequency of the event}}{\text{Total number of trials}}
\]
From the table provided:
- Frequency of rolling a 2 = 172
- Total number of rolls = 1,230
Now, substitute the values into the formula:
\[
\text{Experimental Probability of rolling a 2} = \frac{172}{1230}
\]
Calculating this gives:
\[
\frac{172}{1230} \approx 0.13984
\]
To convert this to a percentage, multiply by 100:
\[
0.13984 \times 100 \approx 13.98\%
\]
Therefore, the experimental probability of rolling a 2 on your next roll is **13.98%**.
\[
\text{Experimental Probability} = \frac{\text{Frequency of the event}}{\text{Total number of trials}}
\]
From the table provided:
- Frequency of rolling a 2 = 172
- Total number of rolls = 1,230
Now, substitute the values into the formula:
\[
\text{Experimental Probability of rolling a 2} = \frac{172}{1230}
\]
Calculating this gives:
\[
\frac{172}{1230} \approx 0.13984
\]
To convert this to a percentage, multiply by 100:
\[
0.13984 \times 100 \approx 13.98\%
\]
Therefore, the experimental probability of rolling a 2 on your next roll is **13.98%**.