Theoretical vs. Experimental Probability Explained

This video tutorial explores theoretical probability, contrasting it with experimental probability. It explains how theoretical probability is calculated as the ratio of favorable outcomes to possible outcomes. Through examples, such as drawing a face card and analyzing a Wheel of Fortune scenario, the video demonstrates how to apply these concepts. It also compares theoretical and experimental probabilities using a spinner experiment, highlighting how more trials lead to closer alignment between the two probabilities.

What does theoretical probability calculate?

• Outcomes based on past experiments

• Predictions of future events

• Ratio of favorable outcomes to possible outcomes

• Results from a specific experiment

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CCSS.7.SP.C.7A

What is the difference between theoretical and experimental probability?

• Experimental can be calculated without an experiment

• Theoretical is what you expect to happen, experimental is what actually happens

• There is no difference

• Theoretical is based on actual results, experimental is not

What are face cards in a deck?

• Cards numbered from 2 to 10

• Ace cards

• Jack, Queen, and King cards

• Cards with geometric shapes

What is a face card's theoretical probability if there are 2 face cards out of 7?

• Both A and B

• 29%

• 2/7

• 1/3

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CCSS.7.SP.C.7B

How many sections does the Wheel of Fortune have if the probability of hitting bankrupt is 1/12 with two bankrupt sections?

• 6 sections

• 12 sections

• 24 sections

• 2 sections

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CCSS.7.SP.C.7B

What is the theoretical probability of spinning a red on a spinner with one red section out of five?

• 1/2

• 1/5

• 1/4

• 1/3

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CCSS.7.SP.C.7A

How does the experimental probability of spinning red change with more trials?

• It increases

• It remains the same

• It becomes closer to the theoretical probability

• It decreases

If a spinner lands on red 13 out of 50 times, what is the experimental probability?

• Both A and C

• 13/50

• 1/4

• 26%

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CCSS.7.SP.C.6

Why might experimental probability be higher than theoretical probability?

• Calculation errors

• Luck or chance variations

• Incorrect theoretical calculation

• Experimental probability is always higher

What does an increase in trials do to the experimental probability?

• Has no effect

• Brings it closer to theoretical probability

• Decreases its value

• Makes it less reliable