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5d6 Bell Curve
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<blockquote data-quote="Morrus" data-source="post: 6231298" data-attributes="member: 1"><p>I think I've got a handle on what I want to do.</p><p></p><p>So, putting this together, this seems to be a first-pass summary of the difficulty value assignment on 5d6. I'm currently situations, or non-average people who might mean rolls of more or less than 5d6.</p><p></p><p>The difficulty value of a standard task that most people would succeed at 50% of the time is 18. Breaking a door down, climbing a tree, jumping the gap between two buildings, attempting to navigate official bureaucracy, or getting an excited dog to sit.</p><p></p><p>A look at the statistics will assist the GM in assigning appropriate difficulty levels. Consider the following facts:</p><p></p><p></p><ul> <li data-xf-list-type="ul">The average human attribute (without skill bonuses) is 5. </li> <li data-xf-list-type="ul">This means that an average human adult will tend to roll between 5-30 on 5d6, with the most common result being 18. </li> <li data-xf-list-type="ul">Because 5d6 is a bell-curve, the results will tend towards the average, and half of the time the average human will roll between 15 and 20. </li> </ul><p></p><p>So if you want a difficulty level that the average person would succeed at half the time (perhaps breaking down a regular door), you should set it at 18. Some significant “landmarks” are as follows:</p><p> </p><p></p><p> [TABLE="width: 100%"] [TR] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">5</p><p>[/TD] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">Lowest possible roll</p><p>[/TD] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">Trivially easy; success guaranteed</p><p>[/TD] [/TR] [TR] [TD] <p style="text-align: center">15</p><p>[/TD] [TD] <p style="text-align: center">Low end of most rolls</p><p>[/TD] [TD] <p style="text-align: center"></p> <p style="text-align: center"> </p><p>[/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">18</p><p>[/TD] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">Average roll</p><p>[/TD] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">About 50% success rate</p><p>[/TD] [/TR] [TR] [TD] <p style="text-align: center">20</p> <p style="text-align: center"></p><p>[/TD] [TD] <p style="text-align: center">High end of most rolls</p><p>[/TD] [TD] <p style="text-align: center"></p> <p style="text-align: center"> </p><p>[/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">30</p><p>[/TD] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">Highest possible roll</p><p>[/TD] [TD="bgcolor: #e6e6ff"] <p style="text-align: center">Incredibly difficult; success unlikely</p><p>[/TD] [/TR] [/TABLE] More difficult tasks have a higher difficulty value. However, no matter how difficult a task, the exploding dice mean that there's always a chance, even if it's very small.</p><p></p><p>[TABLE="width: 100%"] [TR] [TD="bgcolor: #99ccff"] Sample Task</p><p> [/TD] [TD="bgcolor: #99ccff"] Difficulty Value</p><p> [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Picking up a heavy book</p><p> [/TD] [TD="bgcolor: #e6e6ff"] 5</p><p> [/TD] [/TR] [TR] [TD] Hearing a loud voice just outside</p><p> [/TD] [TD] 10</p><p> [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Breaking down a standard pine door</p><p> [/TD] [TD="bgcolor: #e6e6ff"] 15</p><p> [/TD] [/TR] [TR] [TD] Building a campfire</p><p> [/TD] [TD] 18</p><p> [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Spotting a hidden compartment or door</p><p> [/TD] [TD="bgcolor: #e6e6ff"] 23</p><p> [/TD] [/TR] [TR] [TD] Picking a regular lock</p><p> [/TD] [TD] 25</p><p> [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Swimming a fast-flowing river</p><p> [/TD] [TD="bgcolor: #e6e6ff"] 25</p><p> [/TD] [/TR] [TR] [TD] Building a starship engine</p><p> [/TD] [TD] 30</p><p> [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Hacking into government systems</p><p> [/TD] [TD="bgcolor: #e6e6ff"] 40*</p><p></p><p> [/TD] [/TR] [/TABLE] *Obviously, unless additional dice are rolled, an average attribute with no trained skill will not be able to do this (excepting luck from exploding dice).</p></blockquote><p></p>
[QUOTE="Morrus, post: 6231298, member: 1"] I think I've got a handle on what I want to do. So, putting this together, this seems to be a first-pass summary of the difficulty value assignment on 5d6. I'm currently situations, or non-average people who might mean rolls of more or less than 5d6. The difficulty value of a standard task that most people would succeed at 50% of the time is 18. Breaking a door down, climbing a tree, jumping the gap between two buildings, attempting to navigate official bureaucracy, or getting an excited dog to sit. A look at the statistics will assist the GM in assigning appropriate difficulty levels. Consider the following facts: [LIST] [*]The average human attribute (without skill bonuses) is 5. [*]This means that an average human adult will tend to roll between 5-30 on 5d6, with the most common result being 18. [*]Because 5d6 is a bell-curve, the results will tend towards the average, and half of the time the average human will roll between 15 and 20. [/LIST] So if you want a difficulty level that the average person would succeed at half the time (perhaps breaking down a regular door), you should set it at 18. Some significant “landmarks” are as follows: [TABLE="width: 100%"] [TR] [TD="bgcolor: #e6e6ff"] [CENTER]5[/CENTER] [/TD] [TD="bgcolor: #e6e6ff"] [CENTER]Lowest possible roll[/CENTER] [/TD] [TD="bgcolor: #e6e6ff"] [CENTER]Trivially easy; success guaranteed[/CENTER] [/TD] [/TR] [TR] [TD] [CENTER]15[/CENTER] [/TD] [TD] [CENTER]Low end of most rolls[/CENTER] [/TD] [TD] [CENTER] [/CENTER] [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] [CENTER]18[/CENTER] [/TD] [TD="bgcolor: #e6e6ff"] [CENTER]Average roll[/CENTER] [/TD] [TD="bgcolor: #e6e6ff"] [CENTER]About 50% success rate[/CENTER] [/TD] [/TR] [TR] [TD] [CENTER]20 [/CENTER] [/TD] [TD] [CENTER]High end of most rolls[/CENTER] [/TD] [TD] [CENTER] [/CENTER] [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] [CENTER]30[/CENTER] [/TD] [TD="bgcolor: #e6e6ff"] [CENTER]Highest possible roll[/CENTER] [/TD] [TD="bgcolor: #e6e6ff"] [CENTER]Incredibly difficult; success unlikely[/CENTER] [/TD] [/TR] [/TABLE] More difficult tasks have a higher difficulty value. However, no matter how difficult a task, the exploding dice mean that there's always a chance, even if it's very small. [TABLE="width: 100%"] [TR] [TD="bgcolor: #99ccff"] Sample Task [/TD] [TD="bgcolor: #99ccff"] Difficulty Value [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Picking up a heavy book [/TD] [TD="bgcolor: #e6e6ff"] 5 [/TD] [/TR] [TR] [TD] Hearing a loud voice just outside [/TD] [TD] 10 [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Breaking down a standard pine door [/TD] [TD="bgcolor: #e6e6ff"] 15 [/TD] [/TR] [TR] [TD] Building a campfire [/TD] [TD] 18 [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Spotting a hidden compartment or door [/TD] [TD="bgcolor: #e6e6ff"] 23 [/TD] [/TR] [TR] [TD] Picking a regular lock [/TD] [TD] 25 [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Swimming a fast-flowing river [/TD] [TD="bgcolor: #e6e6ff"] 25 [/TD] [/TR] [TR] [TD] Building a starship engine [/TD] [TD] 30 [/TD] [/TR] [TR] [TD="bgcolor: #e6e6ff"] Hacking into government systems [/TD] [TD="bgcolor: #e6e6ff"] 40* [/TD] [/TR] [/TABLE] *Obviously, unless additional dice are rolled, an average attribute with no trained skill will not be able to do this (excepting luck from exploding dice). [/QUOTE]
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