M7 Theoretical and Experimental Probability

Front

What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials or experiments conducted.

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How do you calculate experimental probability?

Back

Experimental probability = (Number of successful outcomes) / (Total number of trials).

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What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated without conducting an experiment.

Front

How do you calculate theoretical probability?

Back

Theoretical probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

If a spinner has 4 equal sections, what is the theoretical probability of landing on any one section?

Back

The theoretical probability of landing on any one section is 1/4.

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

Back

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

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Shannon selects a jelly bean from a bag 44 times. If she selects a red jelly bean 11 times, what is the experimental probability of selecting a red jelly bean?

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The experimental probability of selecting a red jelly bean is 11/44.

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What is the difference between experimental and theoretical probability?

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Experimental probability is based on actual experiments, while theoretical probability is based on expected outcomes.

Front

If a spinner is spun 200 times and lands on a 3, 50 times, what is the experimental probability of landing on a 3?

Back

The experimental probability of landing on a 3 is 50/200 or 1/4.

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.