Comparing Theoretical and Empirical Results

Comparing Theoretical and Empirical Results

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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Quizizz Content

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This video tutorial explains the concepts of theoretical and empirical probability using coin flips as an example. It covers the definitions of sample space, events, and frequency, and demonstrates how to calculate probability in different forms. Theoretical probability is discussed with an assumption of equal likelihood of events, while empirical probability is based on actual outcomes. The video highlights the differences between these probabilities and emphasizes that empirical results may not always match theoretical expectations, especially with a small number of trials.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the sample space when flipping a coin?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the theoretical probability of landing on heads when flipping a coin?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the difference between theoretical probability and empirical probability?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Why might empirical probability not equal theoretical probability in a small sample size?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to empirical probability as the number of trials increases?

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