Is Red Due? Streaks and the Gambler's Fallacy at the Roulette Wheel

After k reds in a row, was the next spin red?

Reds in a row	Times	Red next	Share

Runs of red, by length

observed expected for this many spins

A run is a block of reds between two spins that are not red. Each extra red in a row is a 48.6 % chance, so every length is a little under half as common as the one before, and long runs still turn up in long sessions.