Why streaks feel impossible

March 2026

Roll a die two hundred times and a run of five identical faces will probably show up somewhere. Asked to fake two hundred rolls by hand, almost nobody writes such a run — it looks wrong, so we avoid it. That instinct is exactly what makes handwritten "random" sequences easy to spot.

The arithmetic

A specific run of five sixes has probability one in 7776. But you are not asking for a specific position — you are asking whether such a run appears anywhere in a long sequence, and there are a great many positions for it to appear in. Rare events become likely once you give them enough opportunities.

This is the same reason lotteries are won every few weeks despite nobody you know winning: millions of tickets, each hopeless, add up to near-certainty that somebody wins.

The practical lesson for our dice page: a hot streak is not evidence of a broken roller, and a cold one is not evidence that you are "due". The next roll does not know what the last one did.