Table 15.5 10-Coin Toss Macrostate Number of Microstates (W) Heads Tails 10 10 8 45 3 120 4 210 252 4 6. 210 120 8. 45 10 10 Total: 1024 2. 5. 7. 7.

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(a) What is the change in entropy if you start with 10 coins in the 5 heads and 5 tails macrostate, toss them, and get 2 heads and 8 tails?
(b) How much more likely is 5 heads and 5 tails than 2 heads and 8 tails? (Take the ratio of the number of microstates to find out.)
(c) If you were betting on 2 heads and 8 tails would you accept odds of 252 to 45? Explain why or why not.

Table 15.5 10-Coin Toss
Macrostate
Number of Microstates (W)
Heads Tails
10
10
8
45
3
120
4
210
252
4
6.
210
120
8.
45
10
10
Total: 1024
2.
5.
7.
7.
Transcribed Image Text:Table 15.5 10-Coin Toss Macrostate Number of Microstates (W) Heads Tails 10 10 8 45 3 120 4 210 252 4 6. 210 120 8. 45 10 10 Total: 1024 2. 5. 7. 7.
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