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Sigchi4life
Category:
Algebra
Price: $10 USD

Question description

Assignment: The Law of Large Numbers Investigation

Mrs. Hudson has made another assignment that Karen and Dakota are excited to try. To conduct your own experiment, you will need dice and a place to record your results. In this assignment, you will first calculate the theoretical probability for rolling a sum of 7. Then, you will roll the dice and add the numbers shown, recording your results as you go. Calculate the experimental probability for rolling a 7 after the 1st, 10th, and 100th rolls. Compare these results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase?

  1. List out the sample space for the experiment and then calculate the theoretical probability.

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  1. Roll the dice. Record your results in the table. Calculate the experimental probability for rolling a sum of 7 after the 1st, 10th, and 100th rolls.

Experimental Probability after Roll #1: ___________________________

How does the experimental probability compare to the theoretical probability after 1 roll? _________________________________________________________

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Experimental Probability after Roll #10: __________________________

How does the experimental probability compare to the theoretical probability after 10 rolls? _________________________________________________________

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Experimental Probability after Roll #100: _________________________

How does the experimental probability compare to the theoretical probability after 100 rolls?

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Tally your results in the table.

Sum

Results

2

3

4

5

6

7

8

9

10

11

12

Analyze your findings.

  1. Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation.

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(Top Tutor) Daniel C.
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