It certainly seems like the kind of game that intellects created and then bookies and gamblers warped the system by adding in the 'random' factor. This falls in line with how intellects play games based on rules while gamblers play games that rely on luck. My guess is that it started out with "if the number is higher, you win" and then once it reached the hands of gamblers, bookies and the like, the 'random' factor was thrown in.