Difference between probability and probability density of finding a particle in space What is the difference between probability and probability density of finding a particle in space? 


I am at basics of the wave function and this thing confused me.

Probability = $[\psi(x, y,z)]^2(\mathrm{d}x,\mathrm{d}y,\mathrm{d}z)$

Probability density at point $(x,y,z)$ in space = $[\psi(x, y,z)]^2$.

The latter one is the probability of finding particle in an infinitesimally small volume element $\mathrm{d}V=\mathrm{d}x, \mathrm{d}y, \mathrm{d}z$ situated at $(x,y,z)$. Then what's the former one?
The latter is the limit of probability per volume, as volume approaches zero, at a particular point in space.