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You have a fundamental misunderstanding of how random mutation and natural selection work together. I implore you to look into the Library of Babel project, which aims to contain every possible combination of letters and spaces. This means every known book, sentence, and possible written paragraph exists somewhere in this library. The randomly generated combinations are essentially random mutations. Now let's imagine you were selecting for only the combinations that made words, thus removing the gibberish. Each word generated would have been generated through random chance, and natural selection (the filter you refer to) removed stuff that isn't a word. It would be much easier to generate a sensible sentence through this process. You also brought up the gambler's fallacy, to this we can liken evolution to Yatzee. Rolling 5 dice with the same number is low, and if you were to keep rolling all 5 dice hoping the next roll would give you the desired result you'd be a fool. But let's say you roll 5 dice, then remove every dice that is not a 6. This is random mutation (the roll) and natural selection (removing dice). It would be very easy using this process to get to 5 dice that all have a 6. You could even go further, if you continued this process for years and years you'd end up with thousands of dice that say 6, a completely impossible result if you were rolling all those dice all at once every time hoping they somehow all land on 6. Thus each new element added (the next dice or letter in the library of babel) is produced through random chance, while the previous working result is retained (the previous 6s you kept or the previous words) and natural selection refines the random result by removing anything that is not viable (any dice not a 6 or letter that would be gibberish). Through these processes together complex changes can arise through purely random processes.

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