For this task, you need to figure out what your probability of winning a board game is. The game involves two players moving units around a map. When the units battle and both players roll several dice, one for each unit, to see who wins and at what cost. You want to find the probability of winning one of these battles, regardless of any losses. Keep in mind that if the battle ends with no units remaining on either side, that's a draw, not a win.

When a conflict begins, each player rolls one die per unit. Each die has a number of attack icons and defense icons on each side. After a roll, the player loses a number of units equal to the number of attack icons the opponent rolled minus the number...