Theoretical and Experimental Probability

Front

What is theoretical probability?

Back

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 possible outcomes.

Front

What is experimental probability?

Back

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.

Front

How many sides does a standard number cube have?

Back

A standard number cube (die) has 6 sides.

Front

If a spinner is divided into 4 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 1/4.

Front

What is the formula for calculating theoretical probability?

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P(Event) = Number of favorable outcomes / Total number of possible outcomes.

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What is the relationship 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 trials.

Front

If a die is rolled 60 times and the number 3 appears 15 times, what is the experimental probability of rolling a 3?

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The experimental probability of rolling a 3 is 15/60 or 1/4.

Front

What is the total number of outcomes when rolling a 6-sided die?

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

Front

If a spinner has 8 equal sections, what is the theoretical probability of landing on a specific section?

Back

The theoretical probability of landing on a specific section is 1/8.

Front

What does it mean if the experimental probability of an event is close to the theoretical probability?

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It means that the results of the experiment are consistent with the expected outcomes.