Can xbox 360 arcade install the game in his hard drive then i will play without disk?

You can't directly install games from disc to the Xbox 360 Arcade's hard drive. Here's why:

* No internal hard drive: The Xbox 360 Arcade model doesn't come with a built-in hard drive. It relies on external storage devices, like USB flash drives or external hard drives, for game saves and limited downloadable content.

* Game installation limitations: Even if you had a hard drive, the Xbox 360 Arcade's limitations wouldn't allow you to install full games from disc to the hard drive.

Here's what you can do:

* Play from disc: The most common method is to use the game disc every time you want to play.

* Buy digital games: You can purchase digital versions of games from the Xbox Live Marketplace and download them to your external storage. This allows you to play without the disc.

* Upgrade to a different console: If you want the ability to install games and play without discs, you'll need to upgrade to an Xbox 360 model with a hard drive, like the Xbox 360 Slim or the original Xbox 360 Pro.

Important Note: The Xbox 360 Arcade was a budget-friendly option and doesn't have the full functionality of the other Xbox 360 models.