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:

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

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%.