Theoretical vs Experimental Probability

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What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring 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?

Back

Experimental probability is the likelihood of an event occurring 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 picking a specific color marble from a bag?

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Count the number of marbles of that color and divide by the total number of marbles in the bag.

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If a spinner has 5 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 divided by the number of sections, so for 5 sections, it is P = 1/5.

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What is the theoretical probability of NOT landing on a specific color in a spinner with equal sections?

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The theoretical probability of NOT landing on a specific color is calculated as: P(Not landing on color) = 1 - P(Landing on color).

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If a spinner has sections colored red, blue, orange, white, and green, what is the probability of spinning pink?

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The probability of spinning pink is 0, as pink is not one of the colors on the spinner.

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What is the formula for calculating the probability of an event?

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The formula is P(Event) = (Number of favorable outcomes) / (Total number of possible outcomes).

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How do you find the experimental probability of an event?

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Conduct an experiment, count how many times the event occurs, and divide by the total number of trials.

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What is the theoretical probability of landing on yellow if a spinner has 4 equal sections, one of which is yellow?

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The theoretical probability is P(Yellow) = 1/4.

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What is the relationship between theoretical and experimental probability?

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Theoretical probability is based on expected outcomes, while experimental probability is based on actual outcomes from trials.