Each module should roll individually. If you have 10 zero point armours you should roll between 0 and 9, 10 times. This is alot fairer than rolling than 0 to 90 once. |
Well actualy. The first method will favor the middle numbers since they have a higher probablity (heres some of the math).
chance of rolling a 0. 1/10 per roll (10 numbers 0,1,2,3,4,5,6,7,8,9). 10 Rolls need to roll 0. Since there independant 1/10 ^10 = 1 / (10^10). Same chance of rolling a 90. Now the chance of rolling a 1 is alot higher. So lets just say it happens on the first try 1,0,0,0,0,0,0,0,0. Right same chance as before. But now that 1 can be in any of those 9 slots. So there is now 9 different ways so its 10/(10^10) (10 spots for the 1 to be in). Well this gets higher and higher the closer the number becomes to 45 because the total different ways of rolling this number. Just look at 2. 2,0,0,0,0,0,0,0 right so just like before 9/(10^10) + the chance that number being expressed as ones. 1,1,0,0,0,0,0,0,0,0 etc. The closer you get to 45 the more ways that number has being expressed. Also if N is the number you pick to find the chance of getting it 90-N has the same chance of getting it since it has the same amount of ways of being expressed (89, 9,9,9,9,9,9,9,9,9,8, or that 8 being in any of the other 9 spots.)
Why the 0-90 has an equal chance of rolling any number.