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

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What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event happening based on actual experiments or trials. It is calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

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How do you calculate the theoretical probability of pulling a red marble from a bag with 4 green, 3 red, 2 blue, and 1 yellow marble?

Back

Theoretical Probability = Number of red marbles / Total number of marbles = 3 / (4 + 3 + 2 + 1) = 3/10.

Front

What is the formula for calculating probability?

Back

Probability = Number of favorable outcomes / Total number of outcomes.

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If a spinner has 4 equal sections colored red, blue, green, and yellow, what is the theoretical probability of landing on yellow?

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Theoretical Probability = 1/4, since there is 1 yellow section out of 4 total sections.

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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 trials.

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If Shannon recorded 11 red jelly beans out of 33 total jelly beans, what is the experimental probability of selecting a red jelly bean?

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Experimental Probability = 11/33 = 1/3.

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What does it mean if the theoretical probability of an event is 0?

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It means that the event is impossible and cannot occur.

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What does it mean if the theoretical probability of an event is 1?

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It means that the event is certain to occur.

Front

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

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Theoretical Probability = Number of blue marbles / Total number of marbles = 2 / 10 = 1/5.