The partition functions of solution thermodynamics at the macroscopic level of description correspond to typical distributions of particles at the microscopic molecular level. The partition functions can be represented in probability space which is the domain of formation constants, dilution, concentrations, probability correlation function, free-energy probability, enthalpy probability, and entropy probability. Types of ensembles, either reacting or non-reacting, yield characteristic probability diagrams. The first moment of the probability distribution belongs to thermodynamic space which is the domain of the extensive thermodynamic variables. The ratios of heat, free energy, enthalpy, entropy to thermal energy RT, as well as logarithm of activity coefficient, logarithm of probability correlation function, and logarithm of equilibrium constant can be measured in affinity thermodynamic space. The properties of the ensembles can be also represented in kinetic energy probability space which corresponds to the experimental domain of thermal dilutions, with variable {(1/[A])(T)} and in kinetic energy thermodynamic space which is the domain of absolute free energy, enthalpy and entropy, of -RTln[A], and of heat and work.