Fog Lamps will not work if the high beams are on.
Turn headlights On. Verify both low beam lights work.
With the headlight switch in Park or Head position, every time you
press the Fog Lamp switch to On or Off. you should hear
a click from the bottom of the passenger side foot well area.
That would indicate the fog lamp relay is working.
If you hear the click from the relay and the Fog Lamps don't light,
both bulbs could be burnt out. You should measure 12 volts on the
Purple wire at the Fog Lamp socket. when the Fog Lamps are on.
The Fog Lamp bulbs share the same ground as the healdight bulbs
so if the low and high beams work not likely you have a ground problem.