Theoretical and Experimental Probability

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What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring 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?

Back

Experimental probability is the likelihood of an event occurring based on actual experiments or trials, 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 expected number of outcomes?

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To calculate the expected number of outcomes, use the formula: Expected Outcomes = (Probability of the event) x (Total number of trials).

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If 3 out of 12 vehicles are trucks, what is the probability of randomly selecting a truck?

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The probability of selecting a truck is 3/12 or 1/4.

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In a class of 21 students, if 7 do not own a gaming system, what is the probability that a randomly selected student does not own a gaming system?

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The probability is 7/21 or 1/3.

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What is the formula for calculating theoretical probability?

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The formula is P(Event) = Number of favorable outcomes / Total number of outcomes.

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What is the formula for calculating experimental probability?

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

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

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The theoretical probability is 1/4.

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If a spinner is spun 50 times and lands on a number 15 times, what is the experimental probability of landing on that number?

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The experimental probability is 15/50 or 30%.

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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 outcomes from trials.