There several versions of "1 to 31" game, involving one die and two players (say you and your opponent), both gifted mathematicians.
My choice is the version defining as a final goal being the first to get a score
of 31 or more.

Here we go:
First: You throw the die and note the outcome.
Then: Your opponent makes a quarter turn* and add this outcome to the earlier sum.
Then: You make a quarter turn and add... and so on...
Until: Whoever gets first the score of 31, or more WINS...

Obviously - there are no draws.
*The quarter turn gets you one of the 4 neighboring faces - never the opposite one!

Design the optimal strategy, - for each of the players and evaluate their chances of victory, provided each makes the best possible moves and that the first number
is a perfectly random digit between 1 and 6.

I have played several emotional versions from 1 to 31 but haven't found one that makes me happy, I hope you can suggest me the best one. <style type="text/css"></style>contexto

Posted by Emma Brown on 2023-02-22 22:22:08