Theoretical and Experimental Probability

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What is Theoretical Probability?

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Theoretical Probability is the likelihood of an event occurring based on the possible outcomes in a perfect scenario, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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How do you calculate the Theoretical Probability of an event?

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To calculate the Theoretical Probability of an event, use the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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What is the Theoretical Probability of landing on red if a spinner has 3 red sections and 6 total sections?

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The Theoretical Probability of landing on red is 3/6 or 50%.

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What is the Theoretical Probability of NOT landing on red if a spinner has 3 red sections and 6 total sections?

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The Theoretical Probability of NOT landing on red is 1 - P(landing on red) = 1 - 0.5 = 0.5 or 50%.

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What is the Theoretical Probability of NOT landing on yellow if a spinner has 1 yellow section and 8 total sections?

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The Theoretical Probability of NOT landing on yellow is 1 - P(landing on yellow) = 1 - (1/8) = 7/8 or 87.5%.

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What is Experimental Probability?

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Experimental Probability is the likelihood of an event occurring based on the results of an actual experiment or trial.

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How do you calculate Experimental Probability?

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Experimental Probability is calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

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In a bag containing 5 quarters, 2 dimes, and 4 pennies, what is the probability of picking a quarter?

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The probability of picking a quarter is calculated as: P(quarter) = Number of quarters / Total coins = 5 / (5 + 2 + 4) = 5/11 or approximately 0.45.

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What is the total number of outcomes when rolling a six-sided die?

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The total number of outcomes when rolling a six-sided die is 6.

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If a spinner has 4 sections labeled A, B, C, and D, what is the Theoretical Probability of landing on section A?

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The Theoretical Probability of landing on section A is 1/4 or 25%.