LogFAQs > #922922197

Questionmarktarius posted...

wolfy42 posted...

Nope there are not, because you literally are forcing there to be only 20 results in every case, other then when you re-roll 6's (making them not count.....even though it's technically a result).

"Reroll on #" causes a theoretically-infinite number of results, thus such rerolls should be discarded when working out the statistics.

Not really, there are an infinite number of possible rolls, but only a set amount of results. We are simply trying to get a 5% chance for every results (Between 1 and 20) and my method delivers that perfectly. Yes, because you are rerolling 6's you technically could roll an infinite number of times, but in reality, you will only need to reroll at all 1/6th of the time (about a 16.6% chance) and need to reroll a second time about 1/36 times (less then a 3% chance).

If you simply have 2 dice of different colors, you could roll them both the first time (to determine 1-10 and 1-5) and then roll them a second time (with the colors determining order), if the first color is a 6, you use the second colors number. If both are 6's, you reroll them again etc. You would need to re-roll a second time extremely rarely, and probably wouldn't need to re-roll a 3rd time even once.

Meanwhile every single time you roll, you have the same 5% chance for every possible number 1-20. This simulates a d20 exactly, as far as the chance to roll each number at least. In fact, it's slightly better on average then a d20 because quite often then are not balanced completely etc, which means you are more likely to roll/land on a certain number then others.

The d6 method both removes the weighted dice effect (or reduces it), especially if you use multiple dice.

So you might actually get a more random, truer, 1-20 randomization from the d6 method then an actual 20 sided dice.
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