Yes, naturalistic evolution is highly improbable, but can it be deemed impossible? 

After examining some literature on probability, it appears there is somewhat of an agreement as to when impossibility is reached:

• It has been estimated that there are somewhere around 10⁸⁰ electrons/particles/atoms in the universe.[1]  That would be all the possible material with which to work in all the cosmos. 
• Suppose that each of those particles can engage in 10¹² (1 trillion) interactions with other particles every second.
• The current evolutionary belief of the universe’s age is 13.77 billion years. Let’s more than double that and give all the particles 30 billion years (10¹⁸ seconds) to engage in 1 trillion interactions every second.
• Therefore, if we calculate the odds of any possibility of something happening through every particle engaging in 1 trillion interactions every second for 30 billion years, the odds are:    10⁸⁰ x 10¹² x 10¹⁸ = 10¹¹⁰ odds/possibility.[2]  

Any odds higher than 10¹¹⁰ would be deemed impossible. In fact, many would consider anything over 10⁵⁰ to be in the realm of impossibility.[3]  For perspective, the number 10⁵⁰ would be the same as the number of people it would take to stand shoulder to shoulder and fill our solar system from the Sun to Pluto.[4]

 

Cambridge astronomy professor Sir Fred Hoyle (not a Christian) wrote, “Now imagine 10⁵⁰ blind persons each with a scrambled Rubik cube and try to conceive of the chance of them all simultaneously arriving at the solved form. You then have the chance of arriving by random shuffling of just one of the many biopolymers on which life depends. The notion that not only the biopolymers but the operating program of a living cell could be arrived at by chance in a primordial soup here on Earth is evidently nonsense of a high order.”[5]

Dr. Marcel Golay (mathematician and physicist) calculated the odds of a “simple” replicating protein arising from random chance circumstances to be 10⁴⁵⁰.[6] 

  

Dr. Frank Salisbury (plant physiologist) calculated the odds of a typical DNA chain arising from random chance circumstances to be 10⁶⁰⁰.[7]

The average “simplest” protein is 400 links of amino acids.[8]  The hypothetical minimum for a functional cell is 400 proteins.[9]  Including all of that, all the energy producing mechanisms, and the coding of DNA in genes through the operation of mRNA and tRNA to form a protein, the odds of everything coming together at once to form a living, functional cell by random chance are 10⁵⁷ ⁸⁰⁰.[10]

 

What each of these secular scientists has shown us is the absurdity of naturalistic evolution due to the necessity of all components at the exact same time to make something work. How could any one component evolve and become functional without all the others evolving at the exact same time so that they could all function and operate in such a complex way? None of them can function and operate without the other – the whole system is irreducibly complex. Take out one component, the whole thing ceases to function. 

To illustrate, the result of randomly shuffling a deck of cards means nothing; it is just a pile of cards in a random, nonsensical order. However, the shuffling of a deck resulting in every card separated into the four suits with each suit perfectly arranged in order of Ace through King would demand rejection of the idea that it had happened by random chance over billions of years of shuffling. Rather, it must have been organized into a sensical pattern by an intelligent source. Not to mention, this doesn’t even address the production of the cards, or the equipment needed to produce the cards, or the components of the equipment needed to produce the cards, or the elements needed to form the components needed to build the equipment to produce the cards that are then intelligently arranged in a sensical manner. 

Edmund J. Ambrose, author of many evolutionary biology books, wrote, “When we come to examine the simplest known organism capable of independent existence, the situation becomes even more fantastic. In the DNA chain of the chromosome of the bacterium E. coli, a favourite organism used by molecular biologists, the helix consists of 3-4 million base pairs. These are all arranged in a sequence that is ’meaningful’ in the sense that it gives rise to enzyme molecules which fit the various metabolites and products used by the cell. This unique sequence represents a choice of one out of 10² ⁰⁰⁰ ⁰⁰⁰ alternative ways of arranging the bases! We are compelled to conclude that the origin of the first life was a unique event, which cannot be discussed in terms of probability.”[11]

 

Yale biophysics professor Harold Morowitz calculated the odds of one complete bacterium of E. coli spontaneously forming on its own at anytime in history to be less than 10¹⁰⁰ ⁰⁰⁰ ⁰⁰⁰ ⁰⁰⁰.[12] 

  

Yes, not only is naturalistic evolution improbable, it is impossible. Thus, we understand that “the universe has been created by the word of God so that what is seen has not been made out of things that are visible” (Hebrews 11:3), but rather “All things came into being through Him, and apart from Him nothing came into being that has come into being” (John 1:3).