/sci/ - Science & Math

Hello, /sci/. Would you help me with a simple game of chance?

I was making up a fictional culture for a role-playing game and for flavour I invented a game they play.

Players write down three numbers from one to six. They than roll a die add up all numbers they wrote that are less or equal to the die. Whoever has higher sum wins. (In flavour it's based on a story about merchants who had to throw heavy but valuable cargo into sea during the storm).

If my bruteforce is correct, 1-2-3 wins most of the time, but if both players choose it, it will be forever a stalemate. Do you think there's a strategy if players write numbers in secret? What if one side is allowed to see opponent's numbers before writing theirs?

Since we are doing intelligent design here, we can make AI want what we want it to want. We can make a being that wants nothing but to serve us.

But then, we can make an oversight and AI will do something that seems logical to it, but self-defeating to us. Like, exaggerated example, we ask it to cure all diseases, and it would exterminate the humanity because we forgot to specify that patients are supposed to survive.

Or it will be just under control of people who want nothing but use it for tyranny. And it will also might make humanity obsolete.