I have a dice roll game and I am trying to find a mathematical way to solve it.
The rules of the game go like this:
Directions for Play:
Each player takes a turn rolling the dice and looking for runs. The runs can start with any number (1-2-3, 3-4-5 and so on). Each part of the run scores five points. A players can have more than one run in a roll. In order to earn the score the player must correctly calculate the maximum score of the roll - if they do not they do not score any points. The first to reach the inputted "score to play to" wins the game.
Examples of Play:
Roll 1: 1, 4, 2, 1, 3, 2
The following runs can be scored; 1,2,3,4 (20 points) + 1, 2 (10 points) The roll is worth 30 points.
Roll 2: 1, 4, 6, 6, 3, 3
The following runs can be scored; 3, 4 (10 points) The roll is worth 10 points
Roll 3: 4, 6, 1, 2, 3,
The following run could be scored; 1, 2, 3, 4 (20 points) The roll would be worth 20 points,
The following runs could also be scored; 1, 2, 3 (15 points) + 3, 4 (10 points) The roll is now worth 25 points.
The information I will know is how many of each number was rolled. Is there any way I can just use this info in a mathematical formula to solve it? and if so what is the formula? Thanks to anyone who takes the time to help :)