When you buy Revolution, the first black ops 2 map pack, it comes with a new game mode called turned, which is a gun game styled game where you play as the zombie.
It does have a zombie mode and it is really fun.
Black Ops
Yes, there is.
No
zombie mode is in black ops because of public demand. tryarch was to help make black ops and in world war tryarch made nazi zombies so when they made black ops they included it in
Black Ops has a zombie mode
Yes
no
Yes
five
(sadly) there is no zombie mode in CoD 4. the only zombie modes (so far) is the sombie mode in world at war and the zombie mode in black ops.
There is no limit to levels on Zombie Mode in Black Ops. It is a survival type game mode and does not end except when you die. There could not be a number of levels because it is infinite with new levels continuing until the game ends when you die.