Here is the game:
- You are rolling 6 six-sided dice
- each dice has the faces: 1, 2, 3, X, X, X (X sides don't matter)
- After you roll them all once, you can choose to pick up one or more and reroll them. You then can choose to pick up one or more dice and reroll a second time.
- If you get 1,1,1, you will score 1 point. 2,2,2, is two points, and 3,3,3, is three points
- Additional matches after the three-of-a-kind do not change your score. This means that 3,3,3,X,X,X AND 3,3,3,3,X,X both only score 3 points.
- No other combinations score any points, only three-of-a-kind. This means that if you don't have at least one triplet, you won't score any points.
On my first roll, I do not get any triplets or pairs of numbers (for example 1,2,3, X, X, X), but one of the numbers is the number 3. Should I hold the 3 and try for more 3s in my rerolls? Or, am I better off rerolling all of the dice?