7th Grade- Theoretical and Experimental Probability

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What is theoretical probability?

Back

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 outcomes.

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What is experimental probability?

Back

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 probability of picking a number divisible by 5 from 1 to 20?

Back

The numbers divisible by 5 from 1 to 20 are 5, 10, 15, and 20. There are 4 favorable outcomes out of 20 total outcomes, so the probability is 4/20 or 1/5.

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If 25 out of 30 students prefer pizza, how do you predict the number of students in a larger group?

Back

To predict, use the ratio of students who prefer pizza (25/30) and apply it to the larger group. For 1200 students: (25/30) * 1200 = 1000 students.

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What is the formula for calculating probability?

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

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What is a bar graph used for in probability experiments?

Back

A bar graph visually represents the frequency of outcomes in an experiment, making it easier to compare experimental probabilities.

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How do you find the experimental probability of landing on a specific outcome from a spinner?

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Count the number of times the specific outcome occurs and divide it by the total number of spins. For example, if landing on 4 occurred 30 times out of 200 spins, the experimental probability is 30/200.

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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 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 is 1/4, since there are 4 equal sections.

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What does it mean if the experimental probability is different from the theoretical probability?

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It may indicate that the experiment was not conducted enough times, or that there are biases in the experiment.