Both the Old Man of the Mountain and Mount Rushmore are elements from the set of all rock faces, and therefore pass 'contingency'.
I have no idea how you decide a priori how an event is determined by chance; for example, here are seven 20 digit numbers
33588436280199230657
02617758870469338514
10567955361381575760
60446034969299744510
29423394179949485805
61585390589368582681
57283648575787347867
Six were generated using a random-number generator. One is decidedly non-random. Which is it?
As for specification; all look like faces, and having seen them all, coming up with an independent pattern will not be possible.
Want to try again?
BTW, anyone want to try the randomness challenge? In order to rule out random guessing, you need to tell me what the non-random number is.
The third number.