9.2 Experimental vs Theoretical

Front

What is the definition of theoretical probability?

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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 the definition of experimental probability?

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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.

Front

How do you calculate the theoretical probability of rolling a specific number on a die?

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The theoretical probability of rolling a specific number on a die is 1/6, since there are 6 possible outcomes.

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What is the theoretical probability of rolling an even number on a standard die?

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The theoretical probability of rolling an even number (2, 4, or 6) on a standard die is 1/2.

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If you roll a die 20 times and get a 5 five times, what is the experimental probability of rolling a 5?

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The experimental probability of rolling a 5 is 5/20 or 1/4.

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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 experiments.

Front

What is the formula for calculating experimental probability?

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The formula for calculating experimental probability is: P(Event) = Number of times the event occurs / Total number of trials.

Front

If a die is rolled 30 times and a 3 is rolled 6 times, what is the experimental probability of rolling a 3?

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The experimental probability of rolling a 3 is 6/30 or 1/5.

Front

What is the theoretical probability of rolling a number less than 4 on a die?

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The theoretical probability of rolling a number less than 4 (1, 2, or 3) is 3/6 or 1/2.

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What does it mean if experimental probability is greater than theoretical probability?

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It means that the actual outcomes observed in the experiment differ from what was expected based on theoretical calculations.