(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.

Data given in Table 15.5

Transcribed Image Text:

Macrostate Number of Microstates (W) Heads Tails 10 9 8 7 6 5 4 0 1 2 3 لنا 4 5 6 1 10 45 120 210 252 210