Probability Concepts and Calculations

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What is probability?

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Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).

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CCSS.7.SP.C.5

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What is theoretical probability?

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

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CCSS.7.SP.C.7A

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What is experimental probability?

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Experimental probability is the probability determined by conducting an experiment and observing the outcomes.

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What is the formula for calculating probability?

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

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CCSS.7.SP.C.7A

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What does the Law of Large Numbers state?

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The Law of Large Numbers states that as the number of trials increases, the experimental probability will get closer to the theoretical probability.

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

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1/8, since there is 1 favorable outcome and 8 possible outcomes.

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CCSS.7.SP.C.7A

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

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1/2, since there are 3 even numbers (2, 4, 6) out of 6 possible outcomes.

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CCSS.7.SP.C.7B

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How do you find the probability of multiple independent events occurring?

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Multiply the probabilities of each individual event.

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What is a sample space in probability?

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A sample space is the set of all possible outcomes of a probability experiment.

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What is a favorable outcome?

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A favorable outcome is an outcome that satisfies the conditions of the event for which probability is being calculated.