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%

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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Question
+
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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