## Comment Re:Theoretical breakthrough... (Score 1) 152

The probability of "7,7,7,7,7,7,7,7,7,7,7,7" is the same as 1,2,3,4,5,6,7,8,9,0,1,2 or any other 13-int sequence.

You are thinking of placing sequences in categories (k consecutive numbers), for which the probability indeed decreases rapidly with k.

But that requires you to define similar sequences, which is a form of finding patterns.