dboeke wrote:Not sure how you did your math, but the odds of winning 2 v 1 are: 57.870%
But your table says odds of winning are 41.67% ???
I created the table using a script which automatically filled in all the troop values (1-100) for both attacker and defender on
Gambit Games calculator and saved the result to the table.
Also, keep in mind that the first cell is two armies on the attacking country, not two armies attacking. The first cell would be 1v1.
I'd also point out that your math is not correct. I assume you got your number from
Wikipedia which does state that their is a chance of the attacker winning a 2v1 combat as 57.87% but that is only the percent of the attacker winning both dice and does not include the chance of the attacker losing the first combat (thus reducing the combat to a 1v1) and then fighting again. My calculations do take this into account.
Taking that into account I've double checked my numbers and they do appear correct.
ender516 wrote:You might want to look into the Assault Odds script. It does a very good job of calculating odds accurately and quickly.
I am actually replacing the odds calculator I had that was similar to this with the odds table in my mobile apps because, while this script may run well on your computer mobile phones have significantly less power. The script in Conqueror can take anywhere from a millisecond with small calculations to over a minute when you get over 50 troops on either side. This is because the number of calculations scales exponentially with the number of troops you have and quickly gets out of hand. On the other hand, while a table obviously imposes a set limit it also enables those upper bounds to be calculated just as quickly as the lower ones. Case and point, a one minute calculation now takes less than a second.
agentcom wrote:Just the other day I was rolling 12 attackers v. P defenders and I wondered what had happened! Guess I should've checked the table ....
Might want to put numbers on your columns
I've added a new row to the top of the excel spreadsheet that includes a quick search feature. You enter the number of troops in the offending and defending country and it will look up the value for you. In order to take advantage of this however you will need to download the spreadsheet to your PC. I have disabled editing of the file for obvious reasons.