# 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 probability of finding particle at any particular coordinate is zero. – Ivan Neretin Mar 30 '18 at 14:21