@Ragnell804 said in AndrewAAgamer (Allies) vs. Germany (Ragnell804):
How do you determine or play by avg dice?
Average Dice show the average number of hits based on the number of targeted units available. For example, 2 3’s plus 6 1’s are attacking 6 units. Average Dice say this is 2 hits. However, reduce the target units to 2 and the average dice changes to 1.6. You can easily represent this by putting the battle into a Battle Calculator and choosing 1 combat roll of dice. The result is average dice. Using this method we capture the average results in every battle based on all possible outcomes.
The issue with Average Dice is it overrepresents misses in small battles. Take that same battle as above and put in 1 target unit and the result will be 0.92 unit. Due to the chance of ANY miss Average dice will never give you 1 hit based on 1 target unit since there is always a chance the dice will miss.
Since in DDay there are a lot of 1 unit defensive battles, due to Fighters and AAA, we shouldn’t use average dice in those battles. Instead, the way to accommodate this issue is to use a targeted percentage of what constitutes an average hit. Using the Bell Curve we know that 68.2% of all results fall into 1 Standard Deviation. Since we are testing we want any result to at least cover that percentage. To achieve at least a 68.2% percentage for 1’s we need to adjust it to 7 rolls equals 1 hit (72%).
There are details as to how to implement this methodology for testing and if you are interested I will post them too before we begin.