Define thermodynamic probability of a macrostate. Establish the Boltzmann relation between entropy and thermodynamic probability.

S = k_B lnW.

In statistical mechanics, the thermodynamic probability of a macrostate refers to the number of possible microscopic configurations (or microstates) that correspond to a given macrostate. A macrostate is characterized by macroscopic quantities such as temperature, pressure, volume, and energy, and the thermodynamic probability quantifies the number of ways these quantities can be realized at the microscopic level. This _____ ____ _______ ___ ___ ____.
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