My point was only that 3 numbers are just that, 3 numbers. It's only a coincidence that we think 1 has a special meaning, but it has not. 3 consecutive 1s have the exact same chance as any 3 (same or different) numbers. It doesn't matter.
And random is random. You can roll 1000000000 1s in a row, that does not tell anything about the randomness of the random generator.
My personal best was 4 20s in a row while vorpaling stuff, it looked great (knowing that those are actually 4 20s in 8 rolls)