Timeline for Would it be fair to use 1d30 (instead of rolling 2d20 and taking the higher die) for advantage rolls?
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| May 16, 2019 at 1:25 | comment | added | Gregor Thomas | In trying to generalize beyond specific thresholds, I do think these concepts/this answer adds value. Adding up the area is adding up probabilities, not values, so I don't think your point about "the amount by which the roll exceeds" applies to that, I agree with @Errorsatz, it would probably be appropriate to truncate the graph at x = 20. Overall, the sum of the differences is 1.675 in favor of 1d30, but if we only consider checks <= 20, then the sum is 0.1583 in favor of d20 with advantage. I'll maybe make some edits tomorrow to include this helpful feedback from both of you, thanks! | |
| May 16, 2019 at 1:20 | comment | added | Gregor Thomas | @prl I think your point is strong when it comes to expected value, which is why I put that near the end with a caveat. For any individual DC, there is a clear choice of which is better---if the player knows the threshold and all that matters is exceeding the threshold, there is no risk/reward trade-off at all---there is one choice that has a higher probability of success. | |
| May 16, 2019 at 0:46 | comment | added | Errorsatz | I don't think this applies in most cases, due to the fact that rolls that require 21+ pre-modifiers are going to be extremely rare - they would be flat-out impossible in standard 5E, hence probably something you'd only run into when trying to punch way above your weight class. Within the standard range, 1d30 is worse 70% of the time. | |
| May 15, 2019 at 20:33 | comment | added | prl | This is an interesting point, but I'm not sure it really applies. Usually, the only consideration is whether the roll exceeds a threshold or not; the amount by which the roll exceeds the threshold doesn't matter. The area (or sum of differences) would only be applicable in cases where the actual value rolled is relevant. | |
| May 15, 2019 at 17:55 | history | edited | Gregor Thomas | CC BY-SA 4.0 |
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| May 15, 2019 at 16:35 | comment | added | Someone_Evil♦ | Welcome to RPG.SE! Take the tour if you haven't already, and check out the help center for more guidance. Good Luck and Happy Gaming! | |
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| May 15, 2019 at 16:30 | history | answered | Gregor Thomas | CC BY-SA 4.0 |