Theoretical probability VS Experimental 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.

Tags

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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How do you calculate Theoretical Probability?

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Theoretical Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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CCSS.7.SP.C.7B

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How do you calculate Experimental Probability?

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Experimental Probability is calculated by dividing the number of times an event occurs by the total number of trials conducted.

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What is the theoretical probability of rolling a 2 on a fair six-sided die?

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1/6

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CCSS.7.SP.C.7A

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What is the experimental probability of rolling a 2 if it was rolled 3 times out of 14 rolls?

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3/14

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CCSS.7.SP.C.6

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If a spinner has 3 green sections and 3 red sections, what is the theoretical probability of landing on green or red?

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2/5

Tags

CCSS.7.SP.C.7B

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If a spinner lands on green 5 times out of 10 spins, what is the experimental probability of landing on green?

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1/2

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CCSS.7.SP.C.6

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What is the difference between theoretical and experimental probability?

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Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from experiments.

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What does it mean if the experimental probability is different from the theoretical probability?

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It may indicate that the experiment was not conducted under ideal conditions or that the sample size was too small.