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 scenario, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

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CCSS.7.SP.C.7A

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How do you calculate the probability of an event?

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Probability of an 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 probability of pulling a red marble from a jar with 10 green, 7 red, and 3 blue marbles?

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7/20

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CCSS.7.SP.C.7B

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What is the probability of randomly choosing a yellow marble from a bag with 4 blue, 6 red, 2 yellow, and 1 white marble?

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2/13

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CCSS.7.SP.C.7B

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If a spinner has 8 equal sections, what is the probability of landing on a specific number?

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1/8.

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CCSS.7.SP.C.7A

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What is the probability of landing on either 1, 5, or 7 on a spinner with 8 equal sections?

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3/8.

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CCSS.7.SP.C.7B

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What is the probability of landing on 7 if the spinner is spun once?

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1/4.

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CCSS.7.SP.C.7A

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What is the probability of not landing on purple if the spinner has 5 sections, 1 of which is purple?

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4/5.

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CCSS.7.SP.C.5

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What does 'favorable outcomes' mean in probability?

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Favorable outcomes are the specific outcomes that we are interested in when calculating probability.

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What is the total number of outcomes if a die is rolled?

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6 (the numbers 1 through 6).