Question
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
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. 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.
- 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.
- 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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