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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?
 List out the sample space for the experiment and then calculate the theoretical probability.
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 Roll the dice. Record your results in the table. Calculate the experimental probability for rolling a sum of 7 after the 1^{st}, 10^{th}, and 100^{th} 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.
 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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