[WP] A detective putting clues together, except all the "clues" are just random coincidences. Somehow though, it works.

Dirk Gently's Holistic Detective Agency has got you covered.

Orphan Black did a bit kind of like this with a character named Krystal

this feels like dirk gentley or some animes.

Tom Selleck played private detective Lance White on 'The Rockford Files.'

Lance was Jim's opposite in almost every way. He had a great relationship with the police; never lost a fight; never worried about money. He'd come up with a theory out of thin air and always be right.