The number of entries in a transition matrix with the probabilities that a deck of 52 cards will go from any state to any other state requires many more entries than the number of atoms in the Earth.

The mass of Earth is given in Physics (4th Edition, Volume I) by Resnick, Halliday, and Krane as 5.88x10²⁴ kilograms. The mass of a neutron is 1.67x10^-27 kilograms. This gives the number of neutrons in the earth to be about 3.52x10⁵¹, a gross overestimation of the number of atoms in the Earth. Even so, this number pales in comparison to 52!, which is about 8.07x10⁶⁷, and even this number is merely the square root of the 52!x52! number of entries required in the transition matrix for a deck of cards.