quick question to the electrical gurus out there (i am not adequately talented in this dark art).

yesterday on the way to work the interior fan wasn't working - and it was hot out... when i got to my parking garage i turned on the headlights and the fan turned on with them (the fan switch was left on high) and now it all seems to work, with or without the lights.

does this make any sense or was it a very, very strange coincidence?

I had problems with my fan switch working intermittently and after I had the switch contacts cleaned it has worked fine since. I think the headlight thing is just coincidence.