Questions: 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 %

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 %

Transcript text: 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 ? $7 \%$ $18 \%$ $22 \%$ $31 \%$

Solution

Solution Steps

Step 1: Determine the total number of successful outcomes

The number of times 2 is rolled is 13, and the number of times 3 is rolled is 9. Add these together to find the total number of successful outcomes: \[ 13 + 9 = 22 \]

Step 2: Determine the total number of trials

The total number of trials (rolls) is given as 72.

Step 3: Calculate the experimental probability

Divide the total number of successful outcomes by the total number of trials, then multiply by 100 to convert it to a percentage: \[ \text{Experimental Probability} = \left( \frac{22}{72} \right) \times 100 \approx 30.56\% \]

Step 4: Round to the nearest whole percent

Round 30.56% to the nearest whole percent: \[ 30.56\% \approx 31\% \]