Theoretical vs Experimental Probability

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What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted.

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How do you calculate experimental probability?

Back

Experimental probability = (Number of successful outcomes) / (Total number of trials).

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What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes, calculated as the ratio of favorable outcomes to total outcomes.

Tags

CCSS.7.SP.C.7A

Front

How do you calculate theoretical probability?

Back

Theoretical probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Tags

CCSS.7.SP.C.7A

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If a die is rolled, what is the theoretical probability of rolling a 4?

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The theoretical probability of rolling a 4 is 1/6.

Tags

CCSS.7.SP.C.7A

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What is the difference between experimental and theoretical probability?

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Experimental probability is based on actual experiments, while theoretical probability is based on expected outcomes.

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What is the probability of an event expressed as?

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The probability of an event can be expressed as a fraction, decimal, or percent.

Tags

CCSS.7.SP.C.5

Front

If an event occurs 5 times in 20 trials, what is the experimental probability?

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The experimental probability is 5/20 or 1/4.

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CCSS.7.SP.C.6

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What is the experimental probability of spinning a spinner that lands on a number 3, if it landed on 3 out of 10 spins?

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The experimental probability is 3/10 or 30%.

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What does it mean if the experimental probability of an event is close to the theoretical probability?

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It indicates that the experiment is consistent with the expected outcomes.