The Entropy of a Certain Macropartition of a Combined System $102 \mathrm{k}_{\mathrm{B}}$

Multiple Choice

The entropy of a certain macropartition of a combined system is $102 \mathrm{k}_{\mathrm{B}}$ . The entropy of another macropartition is $204 \mathrm{k}_{\mathrm{B}}$ . How much more likely is the system to be in the second macropartition than the first? (Select the closest response.)

A) 2 times
B) $\mathrm{e}^{2}=7.4$ times
C) $10^{2}=100$ times
D) $\mathrm{e}^{102}=2 \times 10^{44}$ times
E) $e^{102 k_{B}} \approx e^{0}$ ; so the two macropartitions have basically the same probability