I understand the basics of your arguments, and thank you for the clarification.
This idea comes from a misunderstanding of how statistics work.
A simpler way of understanding how stats work, consider the puddle analogy that was suggested by Douglas Adams.
Basically, all puddles in the world have different shapes that are–in their own way–as unique as snowflakes.
So, if the water in a puddle was suddenly able to think, it might believe that its existence is a result of devine providence because it fits its hole so precisely.
Life is like this.
Another way of looking at this is to consider rock candy.
Sugar molecules dissolved in boiling water are oriented any which way at random, yet when we shut off the stove and put a wooden stick in the water, sugar crystalizes into nice, neat, orderly, reapeating rows on the stick. If the molecules were to randomly deposit themselves on the stick, we would have a form of sugar that is more like glass than a crystal.
To expect each sugar molecule to deposit–at random–onto the stick and expect the orderly rows of molecules in a crystaline arrangement would, indeed, be so statistically remote that we can say that rock candy is–in fact–realistically impossible.
So why do we have rock candy?
This has to do with the laws of cemistry and physics, and similar laws dictate biology and intelligence. Intelligence seems unlikely because this argument does not consider physical laws in their proper context.
If your next argument is to say that God must have created these laws, then we have ask what created God?
If God has always existed, then why not save a step and decide that these laws have always existed? To require that God created the laws yet not require that something created God is a double standard . . . or a form of hipocrasy.