What is the relationship between probability and electron cloud model of the atom?
The electron cloud model is really a three dimensional plot of the likelihood of finding an electron in that orbit. If every spot where the electron might be found is plotted mathematically, we get a fuzzy cloud like distribution of points, any one of which represents the probability of finding the electron in that location. Since the actual location and path of the electron cannot be known, we depend upon knowledge of the probability of finding it in a given spot to create the cloud model. The denser the cloud, the more probability of finding the electron there.