balanced dice

  • 3 posts
  • Page 1 of 1
X7 wrote:
After some frustration I decided to use balance dice (Thanks for this option)

Peru (AnalyzerX7) attacked Argentina (moskivn) killing 1, losing 5.
Central America (AnalyzerX7) attacked Venezuela (moskivn) conquering it, killing 1, losing 3.
North Africa (AnalyzerX7) attacked Brazil (moskivn) conquering it, killing 1, losing 2.

in 2 turns:

Can you please confirm how a ratio of  3:10 total 33% is balanced???

This has been emotionally draining.
Do it for the memes
X7 wrote:
Western Europe (moskivn) attacked North Africa (AnalyzerX7) killing 1, losing 6.

After investigating all the rolls from every player, it just looks like a normal game.

ELI5 Balanced dice please?
Do it for the memes
Matty wrote:
The dice are random and bad rolls are possible (and therefore they will happen, eventually), regardless of which randomization algorithm you use.
Balanced dice will give more balanced results (in 3 dice vs 2 dice situations - in other situations they are exactly the same). However, statements about the expected outcome of randomized process only hold in the grand scheme of things. This is the main rule in doing experiments that concern probabilities. In small situations such as a single 7 vs x battle, you can't expect to see any difference.

Other then that, you claim to investigate all the rolls from every player, and then you post exactly three results? Why not post the aggregate result of all the rolls?



Having said that, follow this link and you'll see an explanation for the difference in how balanced dice work in regard to normal dice: https://dominating12.com/dice

And here's an experiment with both the small scheme and the grand scheme of things:
Results for a 3 vs 2 dice battle.
#Rolls -----Description ----- -----Default ----- ----- ----- ----- ----- -----Balanced dice
10Kill 2 troops2/10 = 20%4/10 = 40%
Kill 1, lose 14/10 = 40%6/10 = 60%
Lose 2 troops4/10 = 40%0/10 = 0%
100Kill 2 troops42/100 = 42%16/100 = 16%
Kill 1, lose 131/100 = 31%77/100 = 77%
Lose 2 troops27/100 = 27%7/100 = 7%
1000Kill 2 troops378/1k = 37.8%213/1k = 21.3%
Kill 1, lose 1339/1k = 33.9%671/1k = 67.1%
Lose 2 troops283/1k = 28.3%116/1k = 11.6%
100000Kill 2 troops37014/100k = 37.01%20285/100k = 20.29%
Kill 1, lose 133672/100k = 33.67%67471/100k = 67.47%
Lose 2 troops29314/100k = 29.31%12244/100k = 12.24%
Results for a 3 vs 1 dice battle.
#Rolls -----Description -----Default ----- ----- ----- ----- ----- -----Balanced dice
10Win6/10 = 60%7/10 = 70%
Lose4/10 = 40%3/10 = 30%
100Win62/100 = 62%67/100 = 67%
Lose38/100 = 38%33/100 = 33%
1000Win661/1k = 66.1%657/1k = 65.7%
Lose339/1k = 33.9%343/1k = 34.3%
100000Win65854/100k = 65.85%66014/100k = 66.01%
Lose34146/100k = 34.15%33986/100k = 33.99%
As you can see, in order to get really close to the expected results you need large numbers, and even 100.000 isn't very large at all - you clearly see different outcomes in the 3v1 dice battles, even though they do exactly the same thing and call exactly the same code.
"Strength doesn't lie in numbers, strength doesn't lie in wealth. Strength lies in nights of peaceful slumbers." ~Maria