A combination of findings (COBE program, Hubble telescope) allows to calculate, with reasonable accuracy, the amount of matter in the universe. Such calculations indicate:

Matter in the Universe = 10^{84} baryons*

The probability of randomly producing a single living cell can now be calculated. The maximum number of conceivable interactions between subatomic particles is 10^{20} events per second. Combining maximum time (Age of the Universe, 10^{17} seconds), maximum matter, and maximum number of interactions, we can calculate the total number of events since the beginning of time:

10^{17} seconds X 10^{84} particles X 10^{20} events/second = *10*^{121} Total Events

The total number of “events” required to produce a single living (reproductive) cell can be determined based on the necessary DNA building blocks = 10^{100,000,000,000}

**Probability of Evolutionary Start** = 10^{121} / 10^{100,000,000,000} = 1 / 10^{99,999,999,879} = **ZERO**

*A bayron is a common example of a subatomic particle

Source: Muncaster, R.O. Creation vs Evolution: Examine the Evidence. Harvest House Publishers 2000

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This is assuming that the probability of interaction between two particles is constant.

Exactly, it could be less

Or more, like a proton and an electron interacting for example. Or neutron-neutron at strong force distances, since you mentioned baryons in particular.

And assuming that the interactions are beneficial and that the non-beneficial ones don’t mess with the beneficial ones or the total processing speed ….

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