Interpreting Data through Experimental and Theoretical Probability

What is experimental probability based on?

• Predictions

• Theoretical calculations

• Historical data

• Actual experiment results

How is the experimental probability represented?

• Possible outcomes over observed occurrences

• Trials over observed occurrences

• Observed occurrences over total trials

• Total outcomes over possible outcomes

What does the theoretical probability of the spinner landing on blue simplify to?

• 3/4

• 1/8

• 1/2

• 1/4

If a spinner is spun 20 times and lands on blue 7 times, what is the experimental probability?

• 7/20

• 1/2

• 1/3

• 20/7

What is the ratio of the number of blue outcomes to the total outcomes for the spinner?

• 2/8

• 1/4

• 1/8

• 3/8

How many times was a seven rolled in the dice experiment?

• Three times

• Six times

• One time

• Ten times

What is the theoretical probability of rolling a seven with two dice?

• 1/10

• 1/8

• 1/12

• 1/6

How does the experimental probability of rolling a seven compare to the theoretical probability?

• It is higher

• It is lower

• It is the same

• It cannot be determined

What is the importance of comparing experimental and theoretical probabilities?

• To verify the accuracy of experiments

• All of the above

• To improve the design of experiments

• To predict future outcomes

What does the number line comparison reveal about the probabilities?

• Both probabilities are equal

• The comparison is inconclusive

• Theoretical probability is higher

• Experimental probability is higher