Hello and sorry in advance : I could do the math, I am just too lazy to think it through…
Here’s what I am looking for : I want to rank players in a contest situation with N players each throwing an amount of dice (wager1, wager2, … wagerN). I have various scoring methods available :
A- Champions killing damage (1=0 success ; 2-5=1 success ; 6=2 successes)
B- beat a threshold (for instance 4+) for 1 success
C- take the highest die (then next highest, etc.)
(D- adding up the value seems boring, but seeing is believing)
(E- likewise, I don’t like bonuses and maluses, but there may be a case for them that I didn’t notice)
Right now, C seems better simply because it yields less draws. But there is a whole sliding scale between A and B that makes me think there may be a golden spot there to be found for different sets of ‘wager’. Or maybe the contest situation makes everything equal and it’s just a question of taste. Probabilites can be counter-intuitive at times, but I wouldn’t bet that this is the case here.
Any leads to a refined dice simulator ?