$ sudo apt-get remove basket 

Uninstall basket including dependent package

If you would like to remove basket and it's dependent packages which are no longer needed from Ubuntu,

$ sudo apt-get remove --auto-remove basket 

Use Purging basket

If you use with purge options to basket package all the configuration and dependent packages will be removed.

$ sudo apt-get purge basket 

If you use purge options along with auto remove, will be removed everything regarding the package, It's really useful when you want to reinstall again.

$ sudo apt-get purge --auto-remove basket 

See Also,