Question

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). a special 8 - sided die is marked with the numbers 1 to 8. it is rolled 15 times with the results shown in the table. results 3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 the experimental probability of rolling an odd number is % , which is % more than the theoretical probability.

Explanation:

Step1: Count odd - numbered results

The odd - numbered results in the table are 3, 5, 7, 1, 3, 7, 1, 7, 3. There are 9 odd - numbered results out of 15 rolls.

Step2: Calculate experimental probability

The experimental probability $P_{exp}$ of rolling an odd number is the number of favorable outcomes (rolling an odd number) divided by the total number of outcomes. So $P_{exp}=\frac{9}{15}=0.6 = 60\%$.

Step3: Calculate theoretical probability

On an 8 - sided die numbered 1 to 8, the odd numbers are 1, 3, 5, 7. There are 4 odd numbers out of 8. So the theoretical probability $P_{theo}=\frac{4}{8}=0.5 = 50\%$.

Step4: Calculate the difference

The difference between the experimental and theoretical probabilities is $60\%−50\% = 10\%$.

Answer:

60, 10