Clustering illusion
The clustering illusion is the tendency to see meaningful patterns—like streaks or clusters—in random data. We overinterpret small samples and treat coincidence as evidence of a real effect. Clustering illusion and the Texas sharpshooter fallacy are the same idea: one is the tendency to see patterns in randomness, the other is the argument that treats such a pattern as proof. Related: Texas sharpshooter.
Examples
You notice that accidents seem to happen in threes, and conclude there is a pattern—when in fact random events will sometimes cluster by chance.
A sports fan sees a "hot hand" in a player who has made several shots in a row, even though streaks of that length are common in random sequences.
You think a certain street is "unlucky" because you have heard of several incidents there, without comparing how many incidents occur on similar streets.
A trader sees a run of winning trades and believes they have found a pattern in the market, when the run could easily be random variation.