Experimental and Theoretical Probability

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What is Experimental Probability?

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Experimental Probability is what actually happens based on the results of an experiment.

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What is Theoretical Probability?

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Theoretical Probability is the probability of an event occurring based on the possible outcomes, assuming all outcomes are equally likely.

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CCSS.7.SP.C.7A

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What is the formula for calculating Theoretical Probability?

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

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CCSS.7.SP.C.7A

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If a die is rolled, what is the theoretical probability of rolling a 3?

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1/6 or approximately 16.67%.

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CCSS.7.SP.C.7A

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

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3/6 or 1/2 (50%). The even numbers are 2, 4, and 6.

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CCSS.7.SP.C.7B

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What is the theoretical probability of picking a vowel from the letters A, B, C, D, and E?

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2/5. The vowels are A and E.

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CCSS.7.SP.C.7B

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What is the probability of landing on a 3 in a spinner divided into 4 equal parts?

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1/4 or 25%.

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CCSS.7.SP.C.7A

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What does it mean if an event has a probability of 0?

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It means the event is impossible and will not occur.

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CCSS.7.SP.C.5

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What does it mean if an event has a probability of 1?

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It means the event is certain to occur.

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CCSS.7.SP.C.5

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How do you calculate Experimental Probability?

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Experimental Probability = (Number of times the event occurs) / (Total number of trials)