From where I'm sitting, it looks like death should not be the end in that case.
You can't perceive the passage of time when you are dead, so you're just going to experience dying and then immediate rebirth after the countless eons pass for that rare moment where entropy spontaneously reverses to form your mind again.
for single random events that is true, but you cant consistently get patterns of random events. you cant infinitely flip a coin and get a tail every time.
There's only a finite number of events that would be necessary to make OP's premise happen (well, except for the consciousness transfer part, I don't think there's any rigorous basis for that). If you flip a coin an infinite number of times, you will get any finite sequence of heads and tails an infinite number of times.