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*Dungeons & Dragons
3d20 variant for 3d6/2d10 to replace d20. Thoughts?
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<blockquote data-quote="Blue" data-source="post: 7849853" data-attributes="member: 20564"><p>Due to bounded accuracy we are generally aiming for numbers in the middle. The difference between needing a 10 or an 11 is a hair over 7.5%. So at the number ranges we are dealing with the most a +1 is 50% more valuable than it is with a straight d20. This leads to more variation for common rolls, and also encourages optimization because it rewards it more.</p><p></p><p>But for all that, that's definitely playable.</p><p></p><p>It also increasing crits. It breaks down to - is the highest of 3d20 enough to succeed, and does either of the other match it. Again, assumign bounded accuracy and assuming an 11 or higher on the die is the average for success, that occurs 87.5% of the time for the highest. you then have a 5% chance the second die matches, and a 95%+5% chance the third die matches and the second does not. (The case of all three matching is already in first and second die matching.) So that's 87.5% * (5% + 4.75%) = 8.53%. So crits are about 70% more likely to happen. That's actually closer to the crit rate with advantage than the standard d20 crit rate.</p><p></p><p>What's the plan for things like champion's increased crit rate?</p></blockquote><p></p>
[QUOTE="Blue, post: 7849853, member: 20564"] Due to bounded accuracy we are generally aiming for numbers in the middle. The difference between needing a 10 or an 11 is a hair over 7.5%. So at the number ranges we are dealing with the most a +1 is 50% more valuable than it is with a straight d20. This leads to more variation for common rolls, and also encourages optimization because it rewards it more. But for all that, that's definitely playable. It also increasing crits. It breaks down to - is the highest of 3d20 enough to succeed, and does either of the other match it. Again, assumign bounded accuracy and assuming an 11 or higher on the die is the average for success, that occurs 87.5% of the time for the highest. you then have a 5% chance the second die matches, and a 95%+5% chance the third die matches and the second does not. (The case of all three matching is already in first and second die matching.) So that's 87.5% * (5% + 4.75%) = 8.53%. So crits are about 70% more likely to happen. That's actually closer to the crit rate with advantage than the standard d20 crit rate. What's the plan for things like champion's increased crit rate? [/QUOTE]
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3d20 variant for 3d6/2d10 to replace d20. Thoughts?
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