Exploring Theoretical and Experimental Probability

What is the main difference between theoretical and experimental probability?

• Theoretical probability is based on possible outcomes, while experimental is based on actual trials.

• Experimental probability can be calculated without conducting any experiments.

• Experimental probability is always equal to theoretical probability.

• Theoretical probability changes with each experiment.

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

• 25%

• 1/5

• 1/4

• 20%

How is experimental probability represented?

• Percentage of times an event is expected to occur.

• Ratio of favorable outcomes to total outcomes.

• Number of times an event occurs divided by the number of trials.

• Ratio of trials conducted to the event occurring.

After spinning a spinner 200 times, how many times would you expect it to land on a specific color, theoretically?

• 60 times

• 50 times

• 30 times

• 40 times

What does an experiment with 1000 spins demonstrate about theoretical and experimental probability?

• They become less similar with more trials.

• Experimental probability becomes exactly equal to theoretical probability.

• Theoretical and experimental probabilities tend to converge with more trials.

• Experimental probability is always higher than theoretical probability.

What does the margin of error in the experiments suggest about the relationship between theoretical and experimental probability?

• It decreases as the number of trials increases.

• It increases with more trials.

• It remains constant regardless of the number of trials.

• It is not related to the number of trials.

Why is it important to conduct multiple trials in an experiment involving probability?

• To increase the theoretical probability.

• To change the outcome of the experiment.

• To ensure the experimental probability closely matches the theoretical probability.

• To decrease the margin of error to zero.

What is relative frequency in the context of probability?

• The percentage of times an event does not occur.

• The difference between theoretical and experimental probability.

• A method to predict future outcomes without conducting experiments.

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

If a spinner is divided into 8 equal sections, what is the theoretical probability of landing on a yellow section?

• 25%

• 12.5%

• 1/4

• 1/8

How many times would you expect a spinner to land on a blue section out of 4800 spins if there are 3 blue sections out of 8?

• 1200 times

• 600 times

• 1600 times

• 1800 times