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%

1 answer

To calculate the experimental probability of rolling a 2, you can use the formula for experimental probability:

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

From the data provided:

  • Frequency of rolling a 2 = 172
  • Total number of rolls = 1230

Now substitute these values into the formula:

\[ \text{Experimental Probability of rolling a 2} = \frac{172}{1230} \]

Calculating that gives:

\[ \frac{172}{1230} \approx 0.13984 \]

To convert this to a percentage, multiply by 100:

\[ 0.13984 \times 100 \approx 13.98% \]

So, the experimental probability of rolling a 2 on your next roll is 13.98%.