+Macrostate23456789101112Probability of Rolling a Macrostate1/36 = 0.0277= 2.8%2/36 = 0.0555 = 5.6%3/36 = 0.833 = 8.3%4/36 = 0.111 = 11.1%5/36 = 0.138 = 13.9%6/36 = 0.166 16.7%5/36 = 0.138 = 13.9%4/36 = 0.111 = 11.1%3/36 = 0.833= 8.3%2/36 = 0.0555 = 5.6%1/36 = 0.0277 = 2.8% 2. Given your data for one hundred rolls, calculate the probability of rollingone specific macrostate. How does this compare to the percentages youcalculated in Table 2 (Pre-Lab Question 3)?3. If you repeated this experiment four times, would you expect similarresults? Why or why not?4. How would your results be different if you rolled the dice fifty times? Fivehundred times?

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Answered: Macrostate 2 3 4 5 6 7 8 9 10 11 12…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Macrostate 2 3 4 5 6 7 8 9 10 11 12 Probability of Rolling a Macrostate 1/36 = 0.0277= 2.8% 2/36 = 0.0555 = 5.6% 3/36 = 0.833= 8.3% 4/36 = 0.111 = 11.1% 5/36 = 0.138 = 13.9% 6/36 = 0.166 = 16.7% 5/36 = 0.138 = 13.9% 4/36 = 0.111 = 11.1% 3/36 = 0.833 = 8.3% 2/36 = 0.0555 = 5.6% 1/36 = 0.0277= 2.8%