When you play games or download them, they'll show up in your game library.
while on the dashboard go to "my game library" and it'll show you
No that is why it is called a PSP game and not a Xbox 360 game
No games will update your Xbox 360. When you insert a game and it asks you to update, this is a game update.
Xbox 360 games do not play on the PS2 or they would be called Xbox 360/PS2 games
No, you can only play Xbox 360 games on the Xbox 360 console.
yes it can play any xbox 360 games
just put the game in the xbox 360
If it is an XBOX 360 game then it will work on any XBOX 360 console.
No. The games are developed for the updated console (Xbox 360). So they will not work, although you can play xbox games on the 360.
Yes. you can play ANY xbox 360 game on ANY type of xbox 360. you can also play original xbox games on the xbox 360. (but you have to have a hard-drive to play original xbox games on the 360)
Yes. All original Xbox games are compatible with the Xbox 360. However, you cannot play an Xbox 360 game on an original Xbox, or course.
I don't think that you can play an original Xbox game on an Xbox 360 live. But some games from the old xbox you can play on Xbox 360.