, so that each of the
faces will designate a particular elementary region. Then each throw of the
dice will result in representing a particular state of the gas, because the number of dice which show uppermost a particular digit will give the number of molecules belonging to the elementary region represented by said digit. In this parallel case each die is equally likely to show up any one of the digits 1 to
, corresponding to the circumstance that each individual molecule is equally likely to belong to any one of the elementary regions. The desired probability
of the given state of the molecules corresponds therefore to the number of different kinds of throws (complexions), by which the given distribution