I'm sorry, I had assumed you were aware of the background.
Dr. Harold Morowitz, former professor of biophysics at Yale University, estimated that the probability of the chance formation of the smallest, simplest form of living organism known is 1 out of 10^340,000,000.
Dr. Carl Sagan of Cornell University, figured the odds at 1 out of 10^2,000,000,000.
Only a certain amount of events have taken place in this universe, which is estimated it to be about 5,000,000,000 light years across. Assume that it is a million times wider, taller, and deeper for a diameter of 5*10^15, (5 quatrillion) light years or 3*10^28 miles in diameter.
The effective diameter of a proton is about 2.4*10^-15 meters -- one inch is equal to about 10 trillion protons side to side. Now, shrink the size of a proton by a trillion and imagine the universe completely filled with these extra-small particle.
* Universe Diameter = 3*10^28 miles = 1.2*10^59 small-particle" diameters
* Universe Volume = (4/3)*(PI)*[(1.2*10^59 small-particle diameters)^3]*(1/8)
* Universe Volume = 8*10^177 particles.
Note: the universe is 1 million times wider than reality, and the particles are 1 trillion times smaller than protons.
Assume that each of the 8*10^177 particles can participate in one trillion trillion trillion events at one time. This factor would be 1*10^36 events per second.
The current estimated life expectancy of the universe is about 30 billion years. Let's multiply this by 1 billion to give the universe 30 quatrillion years --or 1.1*10^22 days or 2.6*10^23 hours or 1*10^27 seconds -- to produce life.
This means that the universe, crammed with 8*10^177 particles working at 1*10^36 events per second for 1*10^27 seconds, could only make:
* (8*10^177)*(1*10^36)*(1*10^27) = 8*10^240 events.
Morowitz says life could evolve from non-life every 1 out of 1*10^340,000,000 events; while Sagan says 1 out of every 1*10^2,000,000,000 events.
Yet only 8*10^240 events are possible in our extra-old, extra-big universe.
Note: Borel asserts that 1*10^50 represents a negligible event on the cosmic scale
If you believe we came into existance by accident you believe in a miracle.
All this pseudo-mathematical blather does nothing to prove that prokariotes are the spontaneous beginning of life. You have invented a theory no branch of science holds, and roundly refuted it. Congratulations.