Understanding Probability: Theoretical vs Experimental

What does a uniform probability model imply?

• Each outcome has an equal probability of occurring.

• Each outcome has a different probability of occurring.

• Only one outcome is possible.

• Outcomes are unpredictable.

Theoretical probability is based on:

• The frequency of past events.

• The number of times an event occurs.

• What actually happens in an experiment.

• What should happen in an ideal scenario.

Experimental probability is determined by:

• Theoretical calculations.

• Actual results from an experiment.

• Predictions based on past data.

• Random guesses.

What is relative frequency?

• The number of times an event is expected to occur.

• The ratio of the number of times an event occurs to the total number of trials.

• The likelihood of an event occurring in the future.

• The difference between theoretical and experimental probability.

In a coin toss experiment, if heads appear 18 times out of 40, what is the experimental probability of tails?

• 60%

• 55%

• 50%

• 45%

How does the experimental probability of tails compare to the theoretical probability in the coin toss experiment?

• It cannot be determined.

• It matches the theoretical probability.

• It is higher than expected.

• It is lower than expected.

What percentage of students preferred basketball according to Miss Newman's survey?

• 44%

• 8%

• 28%

• 20%

If 28% of students prefer basketball, how many students out of 560 would you expect to prefer it?

• 112

• 140

• 157

• 168

What mathematical method is used to find the expected number of students preferring basketball?

• Division

• Addition

• Subtraction

• Cross-multiplication

What is the purpose of setting up a proportion in the sports preference survey?

• To compare different sports.

• To determine the most popular sport.

• To calculate the total number of students.

• To predict the number of students preferring a sport.