Theoretical and Experimental Probability

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What is theoretical probability?

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Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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What is experimental probability?

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Experimental probability is the likelihood of an event happening based on the results of an experiment, 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 landing on yellow if a spinner has 4 equal sections?

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The theoretical probability of landing on yellow is 1/4, since there is 1 favorable outcome (yellow) out of 4 total outcomes.

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If a number cube is rolled, what is the theoretical probability of rolling an even number?

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

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What is the theoretical probability of NOT landing on yellow if a spinner has 4 equal sections?

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The theoretical probability of NOT landing on yellow is 3/4, since there are 3 outcomes that are not yellow.

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If a spinner is spun 30 times and lands on blue 12 times, what is the experimental probability of landing on blue?

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The experimental probability of landing on blue is 12/30, which simplifies to 2/5.

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What is the experimental probability of NOT landing on blue if a spinner is spun 30 times and lands on blue 12 times?

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The experimental probability of NOT landing on blue is 18/30, which simplifies to 3/5.

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

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A probability of 1 means that the event is certain to occur.

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

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A probability of 0 means that the event is impossible and will not occur.

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How can you express probability as a fraction?

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Probability can be expressed as a fraction by dividing the number of favorable outcomes by the total number of possible outcomes.