My problem -
Each round, each of the 5 champions get to strike each of the 99 monsters once; however, their attacks are such that one third of each champion's attacks are ineffective, causing 0 damage; one third cause normal damage (1 point) and one third cause bonus damage (2 points). (The numbers have been simplified for the purposes of this example.) So, in total each of the monsters can get hit anywhere from 0-10 points of damage each round, but the amount will vary depending on whether the attack was ineffective, caused normal damage or caused bonus damage. As I'm trying to figure out the right percentages between ineffective, normal and bonus damage attacks (in the example above, they're each at one third, but I'm not sure that will make sense for the gameplay), I need to know how the damage will be distributed among the 99 monsters as I change the percentages associated with each of the three different types of attacks. In other words, if I use these x percentages, they will result in y monsters receiving 10 points of damage, z monsters receiving 9 points of damage, etc.) Does anyone know how I can do that?