Purely a game of chance. It's some time since I studied probability in depth, but I'd say the chances of winning this game should be exactly 1 in 13, since it all boils down to the chances of the very last card you pick up being a king!

Note that autoplay currently does not work with this game. But come on, autoplay for this game kind of defeats the whole purpose, doesn't it??

This game is also mentioned in the description of:
Dial.