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.
