@vivify
The DNA molecule's combination of amino acids instructs how a protein is to be manufactured. Ie. It has to fold in on itself in a particular way. An example of a relatively "small" length DNA molecule is used to illustrate the probability of instructions producing a protein that folds properly to be a valid biologically useful structure.
He is using as a sample size of opportunities to randomly hit a proper folding instructions from every individual living organism that has lived on the planet in the available time living organisms have lived on the planet.
The issues is can the random mutation natural selection mechanism could generate enough biological information to build a new animal or new protein in the time available to the evolutionary process.
Random changes for instance to computer code more likely to generate gibberish.
Alphabetic text or digital code in meaningful sentences of functioning code, when randomly modified are more likely to degrade the information. Given enough opportunity a modification would produce meaning for additional information.
DNA has a genetic text. There are vastly more ways to arrange the instruction conveying arrangements that will produce gibberish. There are many times less ways to arrange the code so as to produce meaning. He starts with the example of a DNA molecule of 150 amino acids long for a workable scenario.
Remember the code in the DNA molecule is specifying how to manufacture protein needed. The genetic code faces this difficulty in the random variation scenario in which a new protein is generated. The combinatorial problem has to do with the number of ways a set of objects can be arranged.
ie. Take a bicycle lock with four little dials with digits 0 through 9. Only ONE arrangement of the four dials will be the correct combination to open the lock.
There are 10 x 10 x 10 x 10 possibilities or 10,000
possible combinations. A random search for the one correct combination would most likely take a time depending on how fast each combination can be tried. Random trying rather than systematic trying might be say 10 seconds per random arrangement of the four dials.
The right one could be hit by chance if some thief, let's say, tries one combination every 10 seconds as he works on the dials. That would be more random then systematically. Systematically and not randomly, he could have searches which took less time if he modified only one dial as the others remained in place.
But we are talking about a none systematic and random variation of the combinations taking let's say 10 seconds an arrangement.
In fifteen HOURS a very diligent search could cover more than 5,000 combinations. That is more than half of the total number of combinations. He might succeed in fifteen hours. But he might not too.
Now if we use a lock with MORE dials the number of possible combinations goes up. And more time is needed to randomly arrive at a sufficient number of combinations that maybe the right one is discovered.
If the lock has 10 dials instead of 4 we get 10 billion combinations rather than 10 thousand with the previous lock. You need more time because the number of possible combinations has increased exponentially. With only ONE combination that will open the lock out of 10 billion possible ones you can see random search to cover even HALF the number needed is going to require more time.
Even devoting one's entire life to searching randomly through 10 billion possible combinations he is more likely to fail and never randomly hit on the winning arrangement of the 10 digits that open the lock.
Now we're talking about a random mutation that will produce a new protein from a long DNA molecule. The analogy, he says, is closer to the 10 billion possibilities on a 10 dial lock than 10,000 on a 4 dial lock.
In the 1960s it was harder to make this analogy because micro biologist did not adequately understand the biological case. Since those earlier days molecular biologist have a better understanding the specialty of protein folding for usefulness. Now that the number of possible combination given any sequence of DNA grows with the length of the molecule in question.
Taking a short DNA molecule of say 150 amino acids long. There are with that relatively "shorter" molecule there are 10 to the power of 195th other arrangements of amino acids of that length. That is a gargantuan number of possible arrangements.
Now we have to consider how many of that gigantic arrangement of amino acids is actually functional. The random search for a arrangement of a functional combination would not have a high probability of success. It would have a low probability of success. First evolutionists thought the sequence is not that specialized. In other words it was at first thought that maybe proteins are not that finnicky and don't really care which amino acids are where in the combinations.
The data collected then proves that it is extremely RARE that among the vast number of possible sequences of amino acids. How rare? Micro biologist Doug Axe proposed an answer in his methodology in the lab to explore the problem.
His experiments supposedly revealed that for every DNA sequence that generates a functional protein of 150 amino acids in length there are 10 to the 77 power arrangements that will [not] [edited] fold into a three dimensional structure of performing that biological function. That is 1 / 10 to the 77th power sequences. Compared to the bike lock analogy that is like randomly finding the right combination to a lock with 10 digits on each of 77 dials.
Random mutation scrambling around the sequence of 150 amino acids to arrive at a functionally useful and valid one requires too large an amount of time. With large amount of time more opportunities to hit a valid sequence could happen. The improbable could conceivably happen with many opportunities for the improbable event to happen.
The opportunities for this to happen take the form of living organisms in which a mutation could occur which conceivably randomly produce a valid combination in a DNA molecule of said length. What has to be overcome is a 1 / 10 to the 77th power odds. The narrator said in the time that life has existed on earth it is estimated that 10 to the 40th power individual organisms have lived.
I don't know who they come up with that number. But we're talking that 10to the 40th power individual organism that have lived since life has been on earth is a relatively minute fraction of 10 to the 77th power
That is 1 trillion trillion trillionth or 1/ 10,000,000,000,000,000,000,000,000,000,000,000,000,
There is not enough time in the age of life on earth for even a tiny fraction of all the living creatures to have lived to luck out and hit a DNA sequence which indicates a combination of amino acids to be a valid functioning one in biology.
The conclusion was that - It follow that it is likely that not one new functional protein fold in the entire history of life on earth was randomly produced.
Don't ask me how anybody knows how many individual living organisms have lived on the earth. Scientists also tell me they know how many atoms there are in the galaxy and even in the universe. I don't know how they estimate this with such confidence.