This reminds me how I was introduced to this topic, the St Petersburg paradox. It was after a discrete 2 final. The professor heard us talking about a competition from our Quant finance club and decided to ask us this problem. Essentially asking the same thing but with a dice, so with replacement, with bigger values and asking what logic our stop algorithm would be to maximize our return. And what would happen if the gain and loss weren't equal with something like +4,+3,+2,-1,-2,-3 as well aas with -4,-3,-2,+1,+2,+3. We ended up staying an extra 2 hours discussing it.