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3d6 instead of 1d20
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<blockquote data-quote="Illithidbix" data-source="post: 6796568" data-attributes="member: 12283"><p>It does lead to an odd thing that the "value" of +1 ceases to be +5% and varies depending upon what number you want need to roll. I believe it gives the "most percentile" benefit when you need to roll a 10+ or 11+ on the 3d6.</p><p></p><p>Also could lead to very tiresome fights between high AC monsters and players trying to hit each other.</p><p>If you're rolling D20+4 to hit AC: 20 you hit on 16-20; so 20% chance or an average of one hit in five attacks.</p><p>If you're rolling 3d6+4 to hit AC: 20 you hit on 16-18: so 4.62% change, so on average less than one hit in twenty attacks.</p><p></p><p></p><p><strong>Threat Range Maths! Wheee!</strong></p><p>The other thing is critical threat ranges (and similar) need adjusting to accommodate the new probabilities.</p><p></p><p>Rolling a D20 has 20 different possibilities, rolling 3d6 leads to 216 different ways the dice can fall. </p><p>This is useful for corresponding probabilities.</p><p><a href="http://www.thedarkfortress.co.uk/tech_reports/3_dice_rolls.htm#.VpMFpxWLS70" target="_blank">http://www.thedarkfortress.co.uk/tech_reports/3_dice_rolls.htm#.VpMFpxWLS70</a></p><p></p><p>I believe </p><p>3d6</p><p>18= 0.46%</p><p>17-18 = 1.85%</p><p>16-18 = 4.62%</p><p>15-18 = 9.25%</p><p>14-18 = 16.20%</p><p>13-18 = 25.92%</p><p>12-18 = 37.50%</p><p>11-18 = 50%</p><p></p><p>Compared to the rather simpler:</p><p>20 = 5%</p><p>19-20 = 10%</p><p>18-20 = 15%</p><p>17-20 = 20%</p><p>16-20 = 25%</p><p>15-20 = 30%</p><p></p><p>Which actually is a lot better mapping than I first guessed</p><p>(although 17-20 is awkward)</p><p></p><p>So equivalence:</p><p></p><p>"Natural 20" = "Natural 16-18" </p><p>"Natural 19-20" = "Natural 15-18" (Long Swords/Short Swords etc)</p><p>"Natural 18-20" = "Natural 14-18" (Rapiers)</p><p>"Natural 17-20" = Uh "Natural 14-18 and flip a coin with a natural 13?"</p><p>"Natural 16-20" = "Natural 13-18"</p><p>"Natural 15-20" = Again somewhat awkward "Natural 13-18 and flip a coin with a natural 12?"</p><p></p><p>Similarly a "Natural 1" on a D20 has similar probabilities to "Natural 3-5"</p><p></p><p>Apparently Improved Critical/Keen Weapons helpfully get Critical threats into the awkward numbers "A threat range of 20 becomes 19-20, a threat range of 19-20 becomes 17-20, and a threat range of 18-20 becomes 15-20."</p></blockquote><p></p>
[QUOTE="Illithidbix, post: 6796568, member: 12283"] It does lead to an odd thing that the "value" of +1 ceases to be +5% and varies depending upon what number you want need to roll. I believe it gives the "most percentile" benefit when you need to roll a 10+ or 11+ on the 3d6. Also could lead to very tiresome fights between high AC monsters and players trying to hit each other. If you're rolling D20+4 to hit AC: 20 you hit on 16-20; so 20% chance or an average of one hit in five attacks. If you're rolling 3d6+4 to hit AC: 20 you hit on 16-18: so 4.62% change, so on average less than one hit in twenty attacks. [b]Threat Range Maths! Wheee![/b] The other thing is critical threat ranges (and similar) need adjusting to accommodate the new probabilities. Rolling a D20 has 20 different possibilities, rolling 3d6 leads to 216 different ways the dice can fall. This is useful for corresponding probabilities. [url]http://www.thedarkfortress.co.uk/tech_reports/3_dice_rolls.htm#.VpMFpxWLS70[/url] I believe 3d6 18= 0.46% 17-18 = 1.85% 16-18 = 4.62% 15-18 = 9.25% 14-18 = 16.20% 13-18 = 25.92% 12-18 = 37.50% 11-18 = 50% Compared to the rather simpler: 20 = 5% 19-20 = 10% 18-20 = 15% 17-20 = 20% 16-20 = 25% 15-20 = 30% Which actually is a lot better mapping than I first guessed (although 17-20 is awkward) So equivalence: "Natural 20" = "Natural 16-18" "Natural 19-20" = "Natural 15-18" (Long Swords/Short Swords etc) "Natural 18-20" = "Natural 14-18" (Rapiers) "Natural 17-20" = Uh "Natural 14-18 and flip a coin with a natural 13?" "Natural 16-20" = "Natural 13-18" "Natural 15-20" = Again somewhat awkward "Natural 13-18 and flip a coin with a natural 12?" Similarly a "Natural 1" on a D20 has similar probabilities to "Natural 3-5" Apparently Improved Critical/Keen Weapons helpfully get Critical threats into the awkward numbers "A threat range of 20 becomes 19-20, a threat range of 19-20 becomes 17-20, and a threat range of 18-20 becomes 15-20." [/QUOTE]
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