it's not obvious in any way
most mutations destroy, don't create
even if one created something there would be no reason for that mutation to become widespread unless you evoke natural selection
however most mutations can't be selected because they are useless
a chain of thousands of lucky mutations would be necessary before anything could be selected
so no, random mutations can't do it
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You said: "a chain of thousands of lucky mutations would be necessary before anything could be selected."
That is exactly what exists. Mutations occur daily, by the billions. Only a few are beneficial, but that is enough. The few beneficial ones become widespread over time. Therefore genetic change happens, and that is evolution. Q.E.D.