All sequences of 20 numbers between 1 and 6 are anomalous.

Ad-absurdum proof by induction.

List all sequences of numbers from the lowest one to the biggest one.

11111111111111111111 is clearly anomalous.

So is 11111111111111111112, and 11111111111111111113 for analogous reasons.

Now, take the lowest non-anomalous sequence of 20 numbers between 1 and 6, and call it Z. Clearly, the probability for Z to be generated is exceedingly low and, therefore, it would be highly anomalous if it were ever generated in a game.

"Look! We generated the lowest non-anomalous sequence!! That is weird!!! The Rand() function must be broken!!!". Therefore, even Z is anomalous.

QED.

It is easy to generalise this theorem to: "all sequences of numbers are anomalous".


--- Message edited by flying_neko