Apophenia

Apophenia is the experience of seeing meaningful patterns or connections in random or meaningless data.

The term was coined in 1958 by Klaus Conrad, who defined it as the "unmotivated seeing of connections" accompanied by a "specific experience of an abnormal meaningfulness", but it has come to represent the human tendency to seek patterns in random nature in general, as with gambling, paranormal phenomena, religion, and even attempts at scientific observation.