Where does the name of the filter come from ? I mean, why is a red filter called a "red" filter, and why is a "blue" filter called a "blue" one ? When you look at a 'red' filter, it looks red. Why do you think that is ? It's because 'red' light is the ONLY light that can pass THROUGH the filter and come out of other side. Light of any OTHER color besides red gets absorbed IN the filter, and never comes OUT the other side. So, ANY light that passes through the filter and continues to your eye must be red light ... when you look at the filter, you 'see' red. But this can only happen IF there's some red light going IN on one side. If there's no red light going in, then there isn't ANY light coming out, and the filter looks black !
If the bulb shines with a COLOR, and that color gets ABSORBED in the filter, then there's no light coming out the other side of the filter.