Question: A system has three macrostates. Macrostates 1 and 3 are least likely and have one basic state each. Macrostate 2 is the equilibrium state and

A system has three macrostates. Macrostates 1 and 3 are least likely and have one basic state each. Macrostate 2 is the equilibrium state and is six times more likely to occur than either of the other two macrostates.

(a) What is the probability that the equilibrium state 2 occurs?

(b) What is the probability that macrostate 1 or 3 occurs?

(c) What is the sum of the probabilities for all macrostates?

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