Try another monitor. If you now have red then you have a bad monitor.
If you still have no red go into the advanced settings for your video card and reset gamma correction to default. If that does not fix it then you have a bad video card.
check the video connectors and make sure you do not have a bent PIN
This would be my first guess, although Phils suggestions are good too. In this order: Bad cable, bad connection, bent pin, bad monitor, poorly seated video card, bad video card (or motherboard or CPU, depending on the type of computer).