Exploring Experimental and Theoretical Probability

The video tutorial covers the concepts of experimental and theoretical probability, explaining the differences between what should happen theoretically and what actually happens experimentally. It includes an activity using a spinner to demonstrate experimental probability and compares the results with theoretical expectations. The lesson also discusses relative frequency and how it approaches theoretical probability as the number of trials increases. The tutorial concludes with a summary and provides contact information for further questions.

What is the definition of theoretical probability?

• None of the above

• Probability of an event based on all possible outcomes

• Ratio of successful outcomes to total trials in an experiment

• Probability based on actual outcomes of an experiment

What is experimental probability?

• Based on hypothetical scenarios

• Based on actual outcomes from experiments

• Calculated without conducting any trials

• Predicted outcomes without experiments

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

• 1/2

• 1/8

• 3/8

• 1/4

Tags

CCSS.7.SP.C.7A

How does experimental probability compare to theoretical probability based on the spinner experiment?

• Experimental probability is always higher

• They can be different based on actual outcomes

• They are always the same

• Theoretical probability is not reliable

What does relative frequency indicate in probability experiments?

• It shows the ratio of successful outcomes to total trials

• It's unrelated to probability

• It decreases as the number of trials increases

• It predicts the exact outcomes of future trials

Tags

CCSS.7.SP.C.6

What is likely to happen to the relative frequency as the number of trials increases?

• It surpasses the theoretical probability

• It approaches the theoretical probability

• It becomes unpredictable

• It approaches zero

What is the theoretical probability of spinning a '1' on a spinner with 5 equal sections?

• 1/5

• 1/10

• 1/4

• 1/3

Tags

CCSS.7.SP.C.7A

If a spinner is spun 1000 times, how many times would you expect it to land on a specific section, given 5 sections?

• 100 times

• 1000 times

• 500 times

• 200 times

Tags

CCSS.7.SP.C.6

What remains constant no matter how many times an experiment is conducted?

• Experimental probability

• Theoretical probability

• Relative frequency

• None of the above

How can students further discuss and understand probability concepts outside of video lessons?

• By setting up discussions on Canvas

• Through online forums unrelated to school

• None of the above

• Through private messaging only

Tags

CCSS.7.SP.C.8B