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All these points are based on probability.
But I want to know how sure a repeated bitcoin address is prevented?
I knew bitcoin address can be generated in offline too.
I guess a time based and System ID or/and IP based coding must be there to prevent a repeated address.
What you say is: I know dice are random, but I want to know what prevents people from rolling a 6 a trillion times in a row, there must be some system in place to prevent that.
You are exaggerating. 2
160 is approximately equal to 6
62, so the real probability is the same as rolling a 6 62 times in a row. But that is the probability of generating a particular address. The chances of generating
any address that someone has a private for is more like 6
50, give or take a few orders of magnitude.