Theoretical and Experimental Probability

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What is Theoretical Probability?

Back

Theoretical Probability is the likelihood of an event happening based on all possible outcomes. It is what should happen in a perfect scenario.

Tags

CCSS.7.SP.C.7A

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What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event happening based on the results of an actual experiment.

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How do you calculate Theoretical Probability?

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Theoretical Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Tags

CCSS.7.SP.C.7A

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If a spinner has 5 equal sections numbered 1 to 5, what is the theoretical probability of landing on a 5?

Back

1/5

Tags

CCSS.7.SP.C.7A

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In a bag with 4 green marbles, 3 red marbles, 2 blue marbles, and 1 yellow marble, what is the theoretical probability of pulling a red marble?

Back

3/10

Tags

CCSS.7.SP.C.7B

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What does it mean if an event has a probability of 0?

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It means the event is impossible and will not occur.

Tags

CCSS.7.SP.C.5

Front

What does it mean if an event has a probability of 1?

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It means the event is certain to occur.

Tags

CCSS.7.SP.C.5

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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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If you flip a coin 100 times and it lands on heads 45 times, what is the experimental probability of getting heads?

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Experimental Probability of heads = 45/100 = 0.45.

Tags

CCSS.7.SP.C.6

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What is a favorable outcome?

Back

A favorable outcome is an outcome that is considered successful for the event being measured.