3 violations is enough to establish a trend, while giving people a little bit of leeway for the first and second violations since they may not know / understand the rules. 3 strike rules are formulated because there is a general consensus that such rules are fair and just, not because people like baseball.
As a outsider, three-strike laws have always seemed to be a uniquely American form of injustice, leading to overpunishnent. It's disappointing (and a little chilling, considering the global policies of the tech giants originate in the US) to think some people might consider them fair or just.