Gambler's Fallacy

Prerequisites
prerequisites

This simulation shows that the difference between the number of heads and the number of tails does not converge on 0. There is no "compensatory force" that makes up for too many heads (or tails) by causing more of tails to occur. The reason that the proportion of heads approaches 0 is that the difference between the number of heads and tails becomes very small compared to the total number of coin flips.