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 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 theoretical probability of NOT landing on a specific color in a spinner?

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To calculate the theoretical probability of NOT landing on a specific color, subtract the probability of landing on that color from 1: P(Not landing on color) = 1 - P(Landing on color).

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If a spinner has 8 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 1/8, since there is 1 favorable outcome and 8 total outcomes.

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What is the formula for calculating the probability of rolling a specific number on a six-sided die?

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The formula is P(Number) = 1/6, since there is 1 favorable outcome and 6 total outcomes.

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If you roll a die 30 times and get a 4 five times, what is the experimental probability of rolling a 4?

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The experimental probability is P(4) = 5/30 = 1/6.

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What does it mean if the experimental probability of an event is different from the theoretical probability?

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It means that the outcomes observed in experiments may vary due to chance, sample size, or other factors, and may not perfectly reflect the expected theoretical probability.

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What is the theoretical probability of landing on a section that is green or red if there are 2 green and 3 red sections on a spinner with 6 total sections?

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The theoretical probability is P(Green or Red) = (2 + 3) / 6 = 5/6.

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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.

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

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The theoretical probability is 1/4, since there is 1 favorable outcome (blue) and 4 total outcomes.