wish missing but tk is installed

I was wanting to tinker around with TCL/TK programming.

I tried to invoke the wish shell, but got this error:

$ wish
The program 'wish' is currently not installed. You can install it by typing:
sudo apt-get install tk

So, I tried to apt-get install tk:

$ sudo apt-get install tk
Reading package lists... Done
Building dependency tree       
Reading state information... Done
tk is already the newest version.
0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.

But it's already installed...

Where did wish go?

UPDATE:

I installed some python-tk packages and now I have wish, but I don't know which package provided it.

However, here is the information requested by the two posters:

Update Alternatives Output:

$ update-alternatives --list wish
update-alternatives: error: no alternatives for wish

LSB Release info:

$ lsb_release -a
No LSB modules are available.
Distributor ID: Ubuntu
Description:    Ubuntu 14.04.1 LTS
Release:    14.04
Codename:   trusty

And now, due to the python-tk packages, when I run the which command I get:

$ which -a wish
/usr/bin/wish

Lastly, here's where it gets interesting, I asked dpkg who is providing /bin/wish:

$ dpkg -S /usr/bin/wish
tk: /usr/bin/wish

I can only imagine than something was corrected during the install of the python-tk packages... Otherwise, I'm stumped... But at least it's working now...