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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How do you calculate the probability of landing on a specific letter in a spinner with multiple letters?

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To calculate the probability of landing on a specific letter, use the formula: P(Letter) = 1 / Total number of letters. For example, in a spinner with 8 letters, the probability of landing on 'F' is P(F) = 1/8.

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If a spinner has 8 letters, what is the probability of landing on a letter other than 'A'?

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If 'A' appears once in the spinner, the probability of landing on a letter other than 'A' is P(Not A) = (Total letters - 1) / Total letters = (8 - 1) / 8 = 7/8.

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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 find the experimental probability of rolling a specific number on a die?

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To find the experimental probability of rolling a specific number, count how many times that number appears in your rolls and divide by the total number of rolls. For example, if you roll a die 5 times and get a '1' once, P(1) = 1/5.

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What is the probability of choosing a letter from the word 'ALGEBRA' that is not 'A'?

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The word 'ALGEBRA' has 7 letters, with 'A' appearing 2 times. The probability of choosing a letter other than 'A' is P(Not A) = (Total letters - Number of A's) / Total letters = (7 - 2) / 7 = 5/7.

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How do you calculate the expected number of trucks on a highway?

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To calculate the expected number of trucks, use the ratio of trucks to total vehicles and multiply by the total number of vehicles. For example, if 3 out of 12 vehicles are trucks, for 3600 vehicles: Expected trucks = (3/12) * 3600 = 900.

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What is the formula for calculating probability?

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

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If you roll a die 6 times and get the following results: 1, 3, 3, 4, 4, what is the experimental probability of rolling a 1?

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The experimental probability of rolling a 1 is P(1) = Number of times 1 appears / Total rolls = 1/6.

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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 results from experiments.