Lots of room here.
All kinds of inspirations:
1. When (Paul) Michael Larson *pulverized* Press Your Luck in May 1984. This inspiration is about going beyond slight tips and tricks. Larson was in between work and had time to spend noticing that ... wait for it ... what if those dancing lights *weren't* random!? And why did no one break it open before him? Once the machinery was known, why didn't X people break it after him? (Did the studio get really suspicious of memory oriented people?)
2. Funny clips on TV shows/bloopers!
A. Anne Robinson played such a stern persona that about once in ... X ... shows (see? the math won't go away!) tried to rise to the verbal challenges!
B. Hilarious clips on other obscure shows
C. (Left Blank for Later)
3. "Fun vs Math"
A. Thread inspired by this game:http://buzzerblog.com/games/moneyvault/
The "Heuristic" is quite simple - you spread them out. But you don't know (initially/yet!?) how the money cards work on the two sides, aka why they are not just random, so "anyone" can get 6-8 entries on the board. But it's about the last few/couple that prove to be really tough because that asks you to get some 10-30% chance the final number will work. (Edited to include that a nasty run of numbers will bust you out!)
Yay. Game. But assuming no comp generator cheating, what ARE the actual odds? What is in fact the "optimal" strategy, and how often will it in fact fail?
I have NO idea how to frame that. But someone does, and I think it's a single equation (sufficiently long!). And Someone in this crazy wild world knows how to write that!
(This goes back to my old love of Solitaire, same meta genre. Notice the "Helps". So you/whoever make sure the equation covers the help resources!)