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###### Math · Statistics And Probability
Question details

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.

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?

Experimental Probability after Roll #10:

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

Experimental Probability after Roll #100:

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

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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