Proposal: [Appendix] Let’s just assume the dice are fair
In the Appendix, in rule “Random Generators”, change:
The Dice Roller at https://blognomic.com/dice/roll.php can be used to generate random results.
to
The Dice Roller at https://blognomic.com/dice/roll.php can be used to generate random results. For the purpose of determining the probability distribution of a random selection, each Dice Roller command is assumed to generate each of its possible results with equal probability (except in the case where duplicate values are placed inside a curly-bracketed list).
Non-secret random selections are currently broken because a) you have to use the Dice Roller for it but b) the Dice Roller is written in PHP, and the version of PHP powering BlogNomic has a bug in its random number generation routines, so it’s impossible to satisfy the “correct probability distribution” and “use the Dice Roller” requirements simultaneously.
The amount by which the probabilities are wrong is incredibly small and unlikely to have a noticeable gameplay impact, so we may as well just treat the Dice Roller results as valid. (The probability of each individual result can’t be wrong by more than 0.000000023 percentage points; with the Dice Roller limited to million-sided dice, that means that the total probabilities can’t be wrong by more than 0.023% even if someone tries to use a DICE1000000 in a way that takes maximum advantage of the bug.)
(This was inspired by seeing some random choices within some of the Plans that have been posted – this appendix bug will need to be fixed before those dynasties will work.)
DoomedIdeas: he/him