Probabilities of a number of mass surface densities through Bonnor-Ebert spheres shown as a function of the central mass surface density. The curves are labeled by the corresponding mass surface density given in units of . The probabilities are compared with those of analytical density profiles as given in Eq. (1) with n = 3 and n = 2. The probabilities for n = 3 are only shown for where the analytical density profile becomes a valid approximation of the density profile of a Bonnor-Ebert sphere. The overpressures given in the upper axis are only valid for Bonnor-Ebert spheres. The gray lines show the asymptotic probability for Bonnor-Ebert spheres in the limit of infinite overpressure. The vertical dotted line marks the location of the critically stable Bonnor-Ebert sphere.