![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
davvHere's a silly thought.
The probability of getting a certain value when rolling a number of dice is given by the binomial distribution, which is kinda close to the normal distribution. D&D and other RPG stats are made by rolling a number of dice (I think). Thus the probability of getting a certain stat value is approximately normal (with mean and deviation that can be found out by knowing how many dice are in play).
So if we had a real world statistic that followed the normal distribution and was reasonably related to the RPG stat, and we made the assumption that probability of getting a certain roll would be the same as the probability of a random person having that value of the statistic, then we could map RPG stats to real world metrics.
Find a way of measuring strength, do so with lots of people, then map the resulting curve to the probability distribution given by the dice rolls and you have a STR mapping. CHA's going to be right out (how do you put a number on it?). INT... probably is the easiest to fit.
Still, it's a big assumption that the probabilities are equal - and without it, you got nothing.
And I'm really tired and should sleep! I just thought it was a funny thing to think about, and so I posted it. Yeah, this only makes me look stranger, I know :)
The probability of getting a certain value when rolling a number of dice is given by the binomial distribution, which is kinda close to the normal distribution. D&D and other RPG stats are made by rolling a number of dice (I think). Thus the probability of getting a certain stat value is approximately normal (with mean and deviation that can be found out by knowing how many dice are in play).
So if we had a real world statistic that followed the normal distribution and was reasonably related to the RPG stat, and we made the assumption that probability of getting a certain roll would be the same as the probability of a random person having that value of the statistic, then we could map RPG stats to real world metrics.
Find a way of measuring strength, do so with lots of people, then map the resulting curve to the probability distribution given by the dice rolls and you have a STR mapping. CHA's going to be right out (how do you put a number on it?). INT... probably is the easiest to fit.
Still, it's a big assumption that the probabilities are equal - and without it, you got nothing.
And I'm really tired and should sleep! I just thought it was a funny thing to think about, and so I posted it. Yeah, this only makes me look stranger, I know :)