In a few locations I've found what appears to be a claw-game of sorts. It reaches down and attempts to pick up a plate of pie, but fails every time I've tried at least. The claw does move above a little conveyor belt where you would expect it drop off your prize, and there's even a slot to claim it at the end.
But my question is, can you actually "win" that piece of pie? Or will you lose every time?
I have had it work actually.. My first try so every attempt hereafter has been a disappointment.. It provided me with a 'Perfectly Preserved Pie' item that I crashed shortly after getting so do not know its stats. I do not know what affects the chance of getting it or not, I have pretty high Luck (9) so that may have helped.
If you don't want to take my word for it you can see a video of it being done here:
Yes, you can win it, although it seems to be as random as the programmed claw machines you play to win toys actually are. I won it after maybe clicking a machine twenty times - took it back to Diamond City and wanted to put it on my coffee table, but when I dropped it, it disappeared. So, be careful about not doing that. Stats on it are nothing special, but the feeling of winning it is stupidly good.
I've done some testing and it looks like winning the pie is possible with the likelihood bound to your luck skill. I tested this by using console commands on two different saves, one with luck value set to 1 and one with luck value set to 99999. With the 99999 luck I would win on first try, whereas with luck set to 1 I failed ten times.