My keyboard backlit is ON while I'm working with my Macbook Pro with an HDTV connected as external display. However if I close the lid to enter clamshell mode and then open the lid again, I notice that the keyboard backlit is OFF.
The only way to turn in on again is flash a light right to the Facetime camera.
I'm using OS X 10.9.2 on a mid-2012 Macbook Pro.
Best Answer
Unfortunately problems with Maverics and the build in camera is well known and document.
You have a little bit a odd one, but using the recommended procedure to try to fix it could not harm.
Resetting the PRAM and SMC is also recommended.
As for your flash light experiment:
As you shine the light in to the camera the keyboard back light is triggered indicating your camera is alive but not doing so well. The light sensitivity is not set properly.