The question here, I believe, is not related to the nature of (pseudo) random distributions - just why the same initial sequence gets displayed?
Well, as stated by another responder, that's one of the uses of srand() - from the perldoc -f srand output:
You can call srand($seed) with the same $seed to reproduce the same sequence from rand(), but this is usually reserved for generating predictable results for testing or debugging. Otherwise, don't call srand() more than once in your program.
Since srand is implicitly called on the first rand() call, there is no need to even call srand. Unless you need to :)
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