Comments on Role Playing with Probabilities: The Importance of DistributionsTypePad2017-10-26T17:34:04ZBlog Administratorhttps://blog.revolutionanalytics.com/tag:typepad.com,2003:https://blog.revolutionanalytics.com/2017/11/role-playing-with-probabilities/comments/atom.xml/Jocelyn commented on 'Role Playing with Probabilities: The Importance of Distributions'tag:typepad.com,2003:6a010534b1db25970b01b7c9308343970b2017-11-03T23:23:59Z2017-11-13T23:44:11ZJocelynHi Amit, I haven't played Stormbringer personally, but I believe it uses percentile dice, much like you described, but with...<p>Hi Amit, I haven't played Stormbringer personally, but I believe it uses percentile dice, much like you described, but with 2d10s rather than 2d20s. Using percentile dice in this way also generates a uniform distribution similar to using 1d20, but spread out over 100 values rather than over 20 possible values. Basically using a system like this would fall somewhere between 1d20 and 1d20 with criticals, because the distribution is still uniform but criticals now have a 2% chance of happening rather than a 5% chance.</p>
<p>The reason 3z8 has a non uniform distribution is because since you <b>sum</b> the dice, there is more than one way to get a particular value. For example, you could get a 2 in three different ways; 1) rolling a 0 on the first dice and a 2 on the second dice, 2) rolling a 2 on the first dice and a 0 on the second dice, or 3) rolling 1 on both dice. This means it is more likely to happen that getting a critical miss of 0 because that can only happen 1 way; rolling 0 on both dice. Alternatively with the 2d10 percentile dice, there is only one way to get any number. For example, 17 can only happen by getting a 1 on the tens dice and a 7 on the ones dice.</p>Amit commented on 'Role Playing with Probabilities: The Importance of Distributions'tag:typepad.com,2003:6a010534b1db25970b01b7c9303c09970b2017-11-03T09:24:18Z2017-11-13T23:44:11ZAmithttp://amitkohli.comHi! Lovely article! I used to mostly play stormbringer, where we rolled two d20, one for "tens" and one for...<p>Hi! Lovely article! I used to mostly play stormbringer, where we rolled two d20, one for "tens" and one for "ones" and make a percent from 0-99, 00 or 01 were critical fails, 98 or 99 were critical wins and would have DIRE consequences, like, lose a nose/amputated arm/permanent scar that affects your seduction skill forever changing your playstyle and ruining your life.... :(</p>
<p>but I digress. How do 2 d20 compare to your 3z8? </p>