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 possible 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 actual experiment, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

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If a number cube (die) has 6 sides, 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 reduces to 1/2.

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Neil tossed a 6-sided die 90 times. If the number 1 appeared 13 times, what is the experimental probability of rolling a 1?

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The experimental probability of rolling a 1 is 13/90.

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What is the formula for calculating theoretical probability?

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P(Event) = Number of favorable outcomes / Total number of possible outcomes.

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What is the formula for calculating experimental probability?

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P(Event) = Number of times the event occurs / Total number of trials.

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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 a spinner is divided into 4 equal sections, what is the theoretical probability of landing on any one section?

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The theoretical probability of landing on any one section is 1/4.

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What does it mean if an experimental probability is close to the theoretical probability?

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It means that the results of the experiment are consistent with the expected outcomes.

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If a spinner is spun 200 times and lands on a 4, 50 times, what is the experimental probability of landing on a 4?

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The experimental probability of landing on a 4 is 50/200, which reduces to 1/4.