LogFAQs > #922920364

As mentioned before, rolling 4d6 and making 21,22,23 = 1, 2 and 3 respectively and 24 get thrown out, does not create the same chance for each number, you are not simulating a 1d20 because to roll a 4, you need to roll 4 1's, which will only happen 1 way, so out of the possible combinations of rolls (which is 6^4), you have only 1 combination that is equal to rolling a 4 on a 20 sided dice.

My method has exactly a 5% chance of rolling a 1, a 5% chance of rolling a 10, and a 5% chance of rolling a 20.

Meanwhile with 4 dice, you can roll a 10 MANY different ways (even if you don't consider each dice different, and just count the number combinations).

So basically using that method, you end up with a WAY larger chance to roll numbers in the middle of the range, then numbers in the extreme ranges.

My method is fast, easy, can be done for any dice range pretty fast in your head, and gives you the exact same chance for any number as rolling a dice with that number of sides would do. It's easy enough that anyone with basic math skills can use it. Even if you could only count, someone could teach you how to use it as well. I could teach 1st graders to use it easily (considering I taught them how to play 21 (not the card game, the adding game), which is actually more complicated.
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