Comparing 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 outcomes.

Front

What is experimental probability?

Back

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.

Front

How do you calculate the theoretical probability of landing on a specific number on a fair 6-sided die?

Back

The theoretical probability of landing on a specific number (e.g., 2) on a fair 6-sided die is 1/6, since there is one favorable outcome and six possible outcomes.

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If a spinner has 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 of a spinner with 4 equal sections is 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 results from trials.

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If a spinner is spun 50 times and lands on a number 15 times, what is the experimental probability of landing on that number?

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The experimental probability is calculated as 15/50, which simplifies to 3/10 or 30%.

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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.

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In a probability experiment, if the theoretical probability of an event is 0.25, what does this mean?

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This means that, theoretically, the event is expected to occur 25% of the time in a large number of trials.

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What is the experimental probability of landing on tails if a coin is flipped 100 times and lands on tails 45 times?

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The experimental probability of landing on tails is 45/100, which simplifies to 0.45 or 45%.

Front

If the theoretical probability of an event is higher than the experimental probability, what does this indicate?

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This indicates that the event occurred less frequently in the experiment than expected based on theoretical calculations.