10.3 Experimental vs Theoretical Probability

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What is Theoretical Probability?

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Theoretical Probability is the likelihood of an event happening based on all possible outcomes, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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CCSS.7.SP.C.7A

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What is Experimental Probability?

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Experimental Probability is the likelihood of an event happening based on actual experiments or trials, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

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What does Frequency mean in probability?

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Frequency refers to the number of times an outcome appears in a set of trials.

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CCSS.7.SP.C.6

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What is the complement of an event?

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The complement of an event is the opposite of that event, meaning it includes all outcomes that are not part of the event.

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CCSS.HSS.CP.A.1

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If a die is rolled 6 times and a 1 appears 2 times, what is the Experimental Probability of rolling a 1?

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The Experimental Probability of rolling a 1 is 2/6.

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CCSS.7.SP.C.6

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What is the formula for calculating Theoretical Probability?

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The formula for calculating Theoretical Probability is P(Event) = Number of favorable outcomes / Total number of outcomes.

Tags

CCSS.7.SP.C.7A

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What is the difference between Experimental and Theoretical Probability?

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Theoretical Probability is based on expected outcomes, while Experimental Probability is based on actual outcomes from experiments.

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If an event has a probability of 0, what does that mean?

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A probability of 0 means that the event cannot occur.

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CCSS.7.SP.C.5

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If an event has a probability of 1, what does that mean?

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A probability of 1 means that the event is certain to occur.

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CCSS.7.SP.C.5

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What is an example of an event with a Theoretical Probability of 1/2?

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Flipping a fair coin and getting heads has a Theoretical Probability of 1/2.

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CCSS.7.SP.C.7A