Theoretical and 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 possible outcomes.

Tags

CCSS.7.SP.C.7A

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How do you calculate the theoretical probability of landing on a specific number on a spinner?

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To calculate the theoretical probability of landing on a specific number, divide the number of sections with that number by the total number of sections on the spinner.

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CCSS.7.SP.C.7A

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What is the theoretical probability of landing on a 5 if a spinner has 8 equal sections?

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The theoretical probability of landing on a 5 is 1/8.

Tags

CCSS.7.SP.C.7A

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What is the theoretical probability of tossing a number cube and it landing on an even number?

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The theoretical probability of landing on an even number (2, 4, 6) is 3/6, which simplifies to 1/2.

Tags

CCSS.7.SP.C.7B

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If a spinner has 8 sections and 1 of them is yellow, what is the theoretical probability of NOT landing on yellow?

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The theoretical probability of NOT landing on yellow is 7/8.

Tags

CCSS.7.SP.C.7B

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What is experimental probability?

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

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How does experimental probability differ from theoretical probability?

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Experimental probability is based on actual experiments and outcomes, while theoretical probability is based on expected outcomes assuming ideal conditions.

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What is the formula for calculating probability?

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

Tags

CCSS.7.SP.C.7A

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If a spinner is spun 200 times and lands on a 4, 50 times, what is the experimental probability of landing on a 4?

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The experimental probability of landing on a 4 is 50/200, which simplifies to 1/4.

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CCSS.7.SP.C.6

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What is the total number of possible outcomes when tossing a number cube?

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The total number of possible outcomes when tossing a number cube is 6 (the numbers 1 through 6).