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 possible outcomes.

Tags

CCSS.7.SP.C.7A

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.

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If a spinner has 5 equal sections numbered 1 to 5, what is the theoretical probability of landing on a 5?

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The theoretical probability of landing on a 5 is 1/5.

Tags

CCSS.7.SP.C.7A

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A coin is tossed 18 times and lands on heads 12 times. What is the experimental probability of landing on tails?

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The experimental probability of landing on tails is 6/18, which simplifies to 1/3.

Tags

CCSS.7.SP.C.6

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What does it mean if an experimental probability is calculated from data?

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It means that the probability is based on actual results from trials or experiments, rather than theoretical predictions.

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What is the theoretical probability of landing on a 4 if a spinner has 8 equal sections numbered 1 to 8?

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The theoretical probability of landing on a 4 is 1/8.

Tags

CCSS.7.SP.C.7A

Front

Neil tossed a 6-sided die 90 times. If the number 1 appeared 13 times, what is the experimental probability of rolling a 1?

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The experimental probability of rolling a 1 is 13/90.

Tags

CCSS.7.SP.C.6

Front

What is the formula for calculating theoretical probability?

Back

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

Tags

CCSS.7.SP.C.7A

Front

What is the formula for calculating experimental probability?

Back

P(Event) = Number of times the event occurs / Total number of trials.

Front

If a spinner is spun 200 times and lands on a 4, what is the theoretical probability of landing on a 4 if there are 8 equal sections?

Back

The theoretical probability of landing on a 4 is 1/8.