I know this looks highly suspicious but really it's just one of those amazing coincidences that happen sometimes.
Seeing a dubious look on the detective's face, you continue
Let me explain about coincidences
(the following edited from Wikipedia
Littlewood's law).
You stop talking.
The detective stares at you for 10 seconds, then says
You have been found next to a dead body with a smoking gun.
Your explanation involves
a million hypothetical events you can't specify,
none of which actually happened.
(To uniformed officer).
Lock this guy up and get a psych evaluation!