Given that there is chaos and randomness in both universes, they would gradually go out of synch. But Usain Bolt is still likely to win the 100m in both universes.
Well, if both universes incorporated randomness from the start, then 13 billion years later it's not likely that there'd be an Usain Bolt.
And I agree with caffeine that you've misunderstood the concept of chaos, it's quite a precise term. Two chaotic systems which started off exactly the same would keep in perfect sync.
I can explain chaos further if anyone would like me to.
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