interesting game

[Don Shepherd]

OK, considering 36 possible rolls, I get these frequencies:

1-17
2-17
3-14
4-12
5-10
6-11
7-6
8-7
9-5
10-5

This was from paper-and-pencil tallies and me eyeballing and summarizing the results, so I wouldn't swear to it but I think it is correct.

The winning strategy is the same, go for the bigger numbers first.

It would be interesting to write a simulation of, say, 1000 game iterations with 4 players, one of which follows this strategy and the other three just choose a random solution each time, and see the results.