To answer the question literally: laptops are easier to fix. Or perhaps "less unlikely" is the better word. Most laptops have some parts that can be swapped out by other models (DVD drives, keyboard, memory, fan, hard drive), so if your laptop breaks (which mostly means that one of these parts breaks), all you need is a small screwdriver and a correct replacement part to get it back up and running. There are also these sata/IDE to USB adapters that'll turn your hard disk into a USB drive on another computer, so assuming it's not a faulty hard drive, you can restore all files that way.
Then again: both have undoubtedly ways of external storage (the shield tablet at least has a micro SD slot), which is a better option, and having a backup plan is also always a good idea.