3 ms·
> why don’t you tell us Well, I wrote «How would you compute the probabilities of each colour per position». It is not a real world problem with properties su
by mdp2021 3y ago
> why don’t you tell us
Well, I wrote «How would you compute the probabilities of each colour per position».
It is not a real world problem with properties such as "being pressing" or of "specificity": it is just that I was wondering if Mastermind could be treated probabilistically, i.e. defining the probability of colour X being in position Y given a set of game "hints" (i.e. statements in the form "colours+positions configuration A has n correct placements and m correct colours"). The context remained "intellectual curiosity" - not really "help me solve a problem"; HN, not StackOverflow.
The Bayesian perspective is the one that seemed possible and interesting: "can we define the probability of colour C in position P given a sequence of "hints", row by row"?
The whole point is seeing if some interesting method comes up. Without too many constraints. It is leisure, with the possibility of gaining some new intellectual key. The non-detailed expression was meant to keep the problem open (to any interesting proposal).
> state, not frame
No, I meant "frame", as in: can the problem (of defining probabilities of colour per position in a Mastermind game given some previous game "hints") be solved within a Bayesian framework - i.e. one updating the probabilities of epistemic states given priors and new evidence.