Question

Jasmine rolls a number cube 72 times. The number 2 is rolled 13 times and the number 3 is rolled nine times.

To the nearest whole percent, what is the experimental probability of rolling a 2 or 3?

7%
18%
22%
31%

Answer 1

To find the experimental probability of rolling a 2 or 3, we first need to determine the total number of times a 2 or a 3 was rolled.

The number of times a 2 was rolled = 13
The number of times a 3 was rolled = 9

Total rolls of 2 or 3 = 13 + 9 = 22

Next, we calculate the experimental probability of rolling a 2 or a 3 by dividing the number of times 2 or 3 was rolled by the total number of rolls:

\[
\text{Experimental Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} = \frac{22}{72}
\]

Now, simplify the fraction:

\[
\frac{22}{72} = \frac{11}{36}
\]

Next, we convert this fraction to a percentage:

\[
\frac{11}{36} \approx 0.3056
\]

To convert to a percentage, multiply by 100:

\[
0.3056 \times 100 \approx 30.56\%
\]

Rounding to the nearest whole percent:

\[
31\%
\]

Thus, the experimental probability of rolling a 2 or 3, to the nearest whole percent, is **31%**.