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.

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What is experimental probability?

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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.

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How do you calculate the theoretical probability of rolling a specific number on a fair number cube?

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If a coin is flipped, what is the theoretical probability of getting heads?

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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 student randomly selects a bill from a bag containing a $1, $5, $10, and $20 bill, what is the theoretical probability of selecting the $1 bill?

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What should you consider when calculating experimental probability?

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When calculating experimental probability, consider the number of trials conducted and the number of times the event of interest occurred.

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If Mike made 63 out of 84 free throw attempts, what is the experimental probability of making a free throw?

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What is the Law of Large Numbers in probability?

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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 Samantha flips a coin 80 times and gets heads 3 times in a row, what should she expect in the long run?

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Samantha should expect that as she continues to flip the coin, the ratio of heads to tails will approach 1:1, or 50% heads and 50% tails.