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<blockquote data-quote="DND_Reborn" data-source="post: 7585052" data-attributes="member: 6987520"><p>LOL! Sorry I didn't give you my "Dissertation on the Comparative Distributions of Skill Checks Systems: An Examination of the Merits and Flaws of 2d10 versus d20." My point was to simply present a couple examples expounding the differences between the two for a moderate DC 10 and a difficult DC 20. Which was exactly what I accomplished.</p><p></p><p></p><p></p><p>Of course they don't, that is obvious.</p><p></p><p></p><p></p><p>So you want to example the range of DC's over the range of likely applicable modifiers? That's fine, but that wasn't my intent as I felt such an over-analysis was unwarranted. I misunderstood your comment earlier, so apology accepted and I hope you will accept mine.</p><p></p><p></p><p></p><p>That is very true, but just as often everyone in a party will be involved in a check (such as perception). Other times the best person might not be there.</p><p></p><p></p><p></p><p>I feel the DCs were appropriate, even if the total modifiers weren't typical for PCs.</p><p></p><p></p><p></p><p>Here, however, you are doing the wrong comparison. I wasn't comparing the difference between 2d10 and d20 directly, I am comparing the two variants by showing the relative increase comparing someone with no modifier to someone with low modifier.</p><p></p><p>Using the 2d10 variant: For a DC 12, no modifier has a 45% of success. A +3 modifier has a 72% chance for success. That is a 60% relative increase.</p><p>Using the d20 model: For a DC 12, no modifier has a 45% of success again. A +3 modifier has a 60% chance for success. That is a 33.3% relative increase.</p><p></p><p>The point is that the 2d10 variant makes it so having a modifier will greatly increase the relative likelihood of success. You seem to be focusing on the +3 modifiers using the two systems, I'm focusing on comparing two levels of modifiers to each other and then looking at the comparison of the systems.</p><p></p><p>Perhaps your point is better illustrated with a "moderate" DC 12 and more reasonable PC-type modifiers, say +5 and + 10 (someone with proficiency and some ability versus someone with more proficiency, greater ability and/or expertise):</p><p></p><p>Using the 2d10 variant: For a DC 12, +5 modifier has a 85% of success. A +10 modifier has a 100% chance for success. That is a 17.6% relative increase.</p><p>Using the d20 model: For a DC 12, +5 modifier has only a 70% of success. A +10 modifier has a 95% chance for success. That is a 35.7% relative increase.</p><p></p><p>So, here the d20 model shows the character with the greater modifier total is more likely to succeed than the lower modifier compared to the 2d10 system. Now, that isn't to say the d20 system itself is more likely, just that the relative comparison of +5 to +10 is.</p><p></p><p>Was that more in line with your point?</p></blockquote><p></p>
[QUOTE="DND_Reborn, post: 7585052, member: 6987520"] LOL! Sorry I didn't give you my "Dissertation on the Comparative Distributions of Skill Checks Systems: An Examination of the Merits and Flaws of 2d10 versus d20." My point was to simply present a couple examples expounding the differences between the two for a moderate DC 10 and a difficult DC 20. Which was exactly what I accomplished. Of course they don't, that is obvious. So you want to example the range of DC's over the range of likely applicable modifiers? That's fine, but that wasn't my intent as I felt such an over-analysis was unwarranted. I misunderstood your comment earlier, so apology accepted and I hope you will accept mine. That is very true, but just as often everyone in a party will be involved in a check (such as perception). Other times the best person might not be there. I feel the DCs were appropriate, even if the total modifiers weren't typical for PCs. Here, however, you are doing the wrong comparison. I wasn't comparing the difference between 2d10 and d20 directly, I am comparing the two variants by showing the relative increase comparing someone with no modifier to someone with low modifier. Using the 2d10 variant: For a DC 12, no modifier has a 45% of success. A +3 modifier has a 72% chance for success. That is a 60% relative increase. Using the d20 model: For a DC 12, no modifier has a 45% of success again. A +3 modifier has a 60% chance for success. That is a 33.3% relative increase. The point is that the 2d10 variant makes it so having a modifier will greatly increase the relative likelihood of success. You seem to be focusing on the +3 modifiers using the two systems, I'm focusing on comparing two levels of modifiers to each other and then looking at the comparison of the systems. Perhaps your point is better illustrated with a "moderate" DC 12 and more reasonable PC-type modifiers, say +5 and + 10 (someone with proficiency and some ability versus someone with more proficiency, greater ability and/or expertise): Using the 2d10 variant: For a DC 12, +5 modifier has a 85% of success. A +10 modifier has a 100% chance for success. That is a 17.6% relative increase. Using the d20 model: For a DC 12, +5 modifier has only a 70% of success. A +10 modifier has a 95% chance for success. That is a 35.7% relative increase. So, here the d20 model shows the character with the greater modifier total is more likely to succeed than the lower modifier compared to the 2d10 system. Now, that isn't to say the d20 system itself is more likely, just that the relative comparison of +5 to +10 is. Was that more in line with your point? [/QUOTE]
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