Theoretical Probability

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What is theoretical probability?

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Theoretical probability is the likelihood of an event occurring based on the possible outcomes in a perfect world, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

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CCSS.7.SP.C.7A

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How do you calculate the theoretical probability of an event?

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

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CCSS.7.SP.C.7A

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What is the theoretical probability of rolling a number greater than 3 on a fair six-sided die?

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The theoretical probability is 1/2, as there are 3 favorable outcomes (4, 5, 6) out of 6 possible outcomes.

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CCSS.7.SP.C.7A

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If a bag contains 5 quarters, 2 dimes, and 4 pennies, what is the total number of coins?

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The total number of coins is 11 (5 quarters + 2 dimes + 4 pennies).

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CCSS.4.MD.A.2

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What is the probability of picking a quarter from a bag containing 5 quarters, 2 dimes, and 4 pennies?

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The probability of picking a quarter is 5/11.

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CCSS.7.SP.C.7B

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How many possible outcomes are there when spinning a spinner divided into 4 equal sections?

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There are 4 possible outcomes when spinning the spinner.

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What is the theoretical probability of rolling an 8 on a fair six-sided die?

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The theoretical probability of rolling an 8 is 0, as a six-sided die only has numbers 1 through 6.

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CCSS.7.SP.C.7B

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In a cup containing numbers 1 to 20, how many even numbers are there?

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There are 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) in the range from 1 to 20.

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CCSS.2.OA.C.3

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What is the theoretical probability of picking an even number from a cup containing numbers 1 to 20?

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The theoretical probability of picking an even number is 1/2, as there are 10 even numbers out of 20 total numbers.

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CCSS.7.SP.C.7B

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What is the difference between theoretical probability and experimental probability?

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