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%

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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%
Transcribed Image Text:+ 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%
2. Given your data for one hundred rolls, calculate the probability of rolling
one specific macrostate. How does this compare to the percentages you
calculated in Table 2 (Pre-Lab Question 3)?
3. If you repeated this experiment four times, would you expect similar
results? Why or why not?
4. How would your results be different if you rolled the dice fifty times? Five
hundred times?
Transcribed Image Text:2. Given your data for one hundred rolls, calculate the probability of rolling one specific macrostate. How does this compare to the percentages you calculated in Table 2 (Pre-Lab Question 3)? 3. If you repeated this experiment four times, would you expect similar results? Why or why not? 4. How would your results be different if you rolled the dice fifty times? Five hundred times?
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