Additive and subtractive color start from opposite premises
RGB builds color by adding light on top of total darkness -- that is additive mixing. CMYK builds color by layering light-absorbing ink onto a white sheet of paper -- that is subtractive mixing. Even though both systems are described using the phrase three primary colors, they work in fundamentally opposite directions.
The two systems cannot reproduce the exact same range of color
Some of the vivid colors RGB can display simply cannot be matched at the same intensity using CMYK ink. That is why a color that looks vibrant on screen can come out looking slightly muted once it is actually printed.
Frequently Asked Questions
Do home printers use the same CMYK setup?
Most home inkjet printers work on essentially the same CMYK principle, though some models add extra ink cartridges beyond the standard four to improve color accuracy.
Why is black labeled K instead of B?
Because B would be easily confused with Blue, black is instead labeled with the letter from Key plate, a printing term -- this is the commonly cited explanation for the K.