7th Grade- Theoretical and Experimental Probability

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What is probability?

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Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 means the event will not happen and 1 means it will definitely happen.

Tags

CCSS.7.SP.C.5

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What is theoretical probability?

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Theoretical probability is the probability of an event calculated based on the possible outcomes in a perfect scenario, without any actual experiments.

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What is experimental probability?

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Experimental probability is the probability of an event determined by conducting experiments and observing the outcomes.

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How do you calculate the probability of an event?

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Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes).

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CCSS.7.SP.C.7A

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If you flip a coin 100 times, how many times would you expect to get heads?

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You would expect to get heads approximately 50 times, since the probability of heads is 1/2.

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CCSS.7.SP.C.6

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What is a proportion in probability?

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A proportion is an equation that states that two ratios are equal, often used to predict outcomes based on known data.

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CCSS.7.SP.A.2

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How do you set up a proportion to predict outcomes?

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To set up a proportion, you compare the ratio of successful outcomes to total outcomes in a sample to the ratio of expected outcomes to total expected outcomes.

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CCSS.7.SP.A.2

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What is the expected outcome in probability?

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The expected outcome is the predicted number of times an event will occur based on its probability and the number of trials.

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CCSS.7.SP.C.6

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What is the formula for calculating expected outcomes?

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Expected outcomes = (Probability of the event) x (Total number of trials).

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CCSS.HSS.CP.B.9

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What does it mean if an experiment has a high experimental probability?

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A high experimental probability indicates that the event occurred frequently in the trials conducted, suggesting it is likely to occur again.