Question
(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.
1. $-2.38 \times 10^{-23} \textrm{ J/K}$
2. 5.6 times as likely
3. The \\$297 payout is equal to the breakeven payout. One should be ambivalent about accepting these odds.
Solution Video