Understanding Theoretical and Experimental Probability

What is the main difference between theoretical and experimental probability?

• There is no difference; both probabilities are calculated in the same manner.

• Theoretical probability is based on the actual outcomes of an experiment, while experimental is not.

• Theoretical probability is determined without conducting an experiment, while experimental probability is based on the outcomes of an actual experiment.

• Experimental probability can be calculated without any trials, while theoretical cannot.

If a fair spinner is divided into 5 equal sections, what is the theoretical probability of landing on one specific color?

• 20%

• 1/4

• 1/5

• 25%

In an experiment with 200 spins, how many times would we expect the spinner to land on a specific color according to theoretical probability?

• 100 times

• 50 times

• 40 times

• 25 times

After 100 spins, if the spinner lands on blue 20% of the time, what does this indicate about the experimental probability?

• Experimental probability cannot be determined from this information.

• It perfectly matches the theoretical probability.

• It is slightly off from the theoretical probability.

• It does not match the theoretical probability at all.

How does the experimental probability compare to the theoretical probability as the number of trials increases?

• It fluctuates unpredictably.

• It becomes less similar.

• It remains constant.

• It becomes more similar.

What is the purpose of using a simulator in probability experiments?

• To avoid learning about probability theory.

• To demonstrate that theoretical probability is unnecessary.

• To conduct a large number of trials quickly and accurately.

• To replace theoretical probability with experimental probability.

What does relative frequency indicate in an experiment?

• The percentage of trials that were not conducted properly.

• The theoretical probability of an event occurring.

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

• The number of times an event does not occur.

What is the theoretical probability of landing on yellow in a spinner divided into 8 equal sections?

• 25%

• 12.5%

• 1/4

• 1/8

If a spinner is spun 4,800 times, how many times would we expect it to land on a section that is 1 out of 8 sections according to theoretical probability?

• 600 times

• 400 times

• 200 times

• 800 times

If a spinner has three blue sections out of eight, how many times would it land on blue in 4,800 spins, according to theoretical probability?

• 1,800 times

• 600 times

• 2,400 times

• 1,200 times