Does it work? Yes. Even a stopped clock is right twice a day.
Is it justice? Probably not. You have as much hope of justice in America if the judge were to just flip a coin.
Most computers use High-resolution monitors. They are anywhere from 620 lines to 1080 lines. The normal TV is low-resolution from the 1940's and has only 480 lines. Even if you could connect it, it wold look fuzzy.
If you have a high-def TV, it may have HDMI inputs, DVI inputs or mini-DVI...