Experimental & Theoretical Probability

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What is the difference between experimental probability and theoretical probability?

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Experimental probability is based on actual experiments and observations, while theoretical probability is based on the expected outcomes in a perfect scenario.

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How do you calculate experimental probability?

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Experimental probability is calculated by dividing the number of successful outcomes by the total number of trials.

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What is the formula for calculating theoretical probability?

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Theoretical probability is calculated using the formula: P(E) = Number of favorable outcomes / Total number of possible outcomes.

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CCSS.7.SP.C.7A

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If a number cube (die) is rolled, what is the theoretical probability of rolling a number greater than 4?

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The theoretical probability of rolling a number greater than 4 (5 or 6) is 2/6 or 1/3.

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CCSS.7.SP.C.7B

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In a car factory, if 12 out of 320 cars checked have defects, how do you estimate the number of defective cars in a larger batch?

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You can use the ratio of defective cars to total cars checked to estimate: (12/320) * 560 = 21 defective cars.

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CCSS.7.RP.A.2C

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What is the expected number of times to roll a specific number (e.g., 1) on a number cube if rolled 36 times?

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The expected number is calculated as (1/6) * 36 = 6 times.

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CCSS.HSS.MD.A.2

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What is the experimental probability of rolling an even number if it was rolled 5 times out of 12 total rolls?

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The experimental probability is 5/12.

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CCSS.7.SP.C.6

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What is the theoretical probability of rolling an even number on a number cube?

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The theoretical probability of rolling an even number (2, 4, or 6) is 3/6 or 1/2.

Tags

CCSS.7.SP.C.7B

Front

How can you use experimental probability to predict future outcomes?

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You can use the ratio of successful outcomes to total trials to estimate the likelihood of future events.

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What is a number cube?

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A number cube is a six-sided die, with each side showing a different number from 1 to 6.