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Theoretical vs. Experimental "Snake Eyes" & Changing Box Dim

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1) Calculate the theoretical probability of rolling "snake eyes" or two ones with a pair of dice. Compare the theoretical probability of the results of Mike's experiment. Are the theoretical and experimental probabilities the same? Explain any differences.

See the attachment for the data of Mike's experiment.

2) Jeff built six rectangular boxes. His first box measured 2' X 2' x 2'. He then changed one of the dimensions and built a second box with a volume that was ¾ the volume of the first box. He continued this sequence, changing the same dimension each time, until he had 6 boxes.

a) Draw and label Jeff's 6 boxes.
b) What is the sum of the volumes of the 6 boxes?
c) If you continued this infinite series, what would be the limit of the sum of the volumes?

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Solution provides steps necessary to calculate probability as well as the sum of volumes.

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