Exploring Theoretical and Experimental Probability

This video tutorial explains the concepts of theoretical and experimental probability, using examples like coin flips and spinner experiments. It guides students through conducting experiments to compare theoretical predictions with actual outcomes, emphasizing the role of relative frequency in approaching theoretical probability as the number of trials increases.

What does experimental probability measure?

• The likelihood of an event based on past events

• The ratio of successful outcomes to possible outcomes

• The predicted outcome of an event

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

What is the theoretical probability of the spinner landing on a heart?

• 4/7

• 3/7

• 2/7

• 1/7

Tags

CCSS.7.SP.C.7B

What is the theoretical probability of not landing on a circle or diamond with the spinner?

• 1/7

• 2/7

• 4/7

• 5/7

If the spinner lands on a circle two times out of 14 spins, what is the experimental probability?

• 1/14

• 1/7

• 3/14

• 2/7

Tags

CCSS.7.SP.C.6

If a spinner lands on a heart six times out of 14 spins, what is the experimental probability?

• 4/7

• 2/7

• 1/7

• 3/7

Tags

CCSS.7.SP.C.6

What does relative frequency approach as the number of trials increases?

• A constant value

• The sum of all probabilities

• The theoretical probability

• The experimental probability

How does the relative frequency of landing on a number change after 100 spins compared to 50 spins?

• It becomes unpredictable

• It becomes less accurate

• It remains the same

• It becomes more accurate

Tags

CCSS.7.SP.C.6

After spinning the spinner 100 times, what pattern is likely observed?

• The experimental probability exceeds the theoretical probability

• The experimental probability gets closer to the theoretical probability

• The experimental probability becomes less predictable

• The experimental probability remains constant

What is the likelihood of spinning a 5 compared to spinning a 2?

• More likely

• Less likely

• Equally likely

• Cannot be determined

Tags

CCSS.7.SP.C.5

If Kane spins the spinner 1000 times, what can he expect the relative frequency of landing on a three to be?

• Close to 10%

• Close to 20%

• Close to 30%

• Close to 40%

Tags

CCSS.7.SP.C.6