Not a very fun game to be honest (as you've said that's there no strategy).
However, I'm quite entertained w/ the explanation along the way (those savvy statistics). It's just felt too long, especially with the anticlimactic exact probability ending (which, btw, I've done analyse it right after your first hint in section 2 that the king is always the last card). Maybe other game with no way to analyse the probability and must rely on statistic would suit the article better?
Thanks by the way. Great coding/writing!