In a thermodynamic system in equilibrium, each molecule can exist in three possible states with probabilities 1/2, 1/3 and 1/6 respectively. The entropy per molecule is

1
\(k_B \ln 3\)
2
\(\frac{1}{2} k_B \ln 2+\frac{2}{3} k_B \ln 3\)
3
\(\frac{2}{3} k_B \ln 2+\frac{1}{2} k_B \ln 3\)
4
\(\frac{1}{2} k_B \ln 2+\frac{1}{6} k_B \ln 3\)

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