Theoretical and Experimental Probability Flashcard

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What is theoretical probability?

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Theoretical probability is the likelihood of an event occurring based on the possible outcomes in a perfect scenario, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

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How do you calculate the theoretical probability of rolling a specific number on a fair 6-sided die?

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The theoretical probability of rolling a specific number on a fair 6-sided die is calculated as 1 divided by the total number of sides, which is 1/6.

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What is experimental probability?

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Experimental probability is the likelihood of an event occurring based on actual experiments or trials, calculated as the ratio of the number of times the event occurs to the total number of trials.

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How do you calculate experimental probability?

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Experimental probability is calculated by dividing the number of times an event occurs by the total number of trials conducted.

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What is the difference between theoretical and experimental probability?

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Theoretical probability is based on expected outcomes in a perfect scenario, while experimental probability is based on actual outcomes from experiments.

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

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The theoretical probability of landing on any one section of a spinner with 4 equal sections is 1/4 or 25%.

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What is the theoretical probability of landing on a section that is green or red if a spinner has 5 sections with 2 green and 3 red?

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The theoretical probability of landing on a section that is green or red is 2/5 + 3/5 = 1 or 100%.

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In a spinner experiment, if it lands on blue 12 times out of 30 spins, what is the experimental probability of landing on blue?

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The experimental probability of landing on blue is 12/30, which simplifies to 2/5.

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What is the theoretical probability of landing on a number if a spinner has 10 equal sections numbered 1 to 10?

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The theoretical probability of landing on any specific number is 1/10.

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If a spinner is spun 50 times and lands on a number 15 times, what is the experimental probability of landing on that number?

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The experimental probability of landing on that number is 15/50, which simplifies to 3/10.