A:
Not right out of the box, but In my experience, you CAN run android apps IF you download and install a separate free app player on this device called bluestacks. This is available because the Transformer T100 has a full version of Windows 8 installed which can run exe files just like windows 7.
Go to www.bluestacks.com or type bluestacks into google search. If you're unsure, the logo looks like a stack of green, yellow, red, and blue round-cornered rectangles. In my search it came up as the first non-ad result. Navigate to the bluestacks.com webpage, choose your platform, and download and install. Then you can create a new account or connect to the play store with an existing account. I have had varying success for the apps I've installed using this method. I would guess that has to do do with the size of the app and the capabilities of the T100. Give it a try since it is free. You can always uninstall if it doesn't run the app you were hoping it would.