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Message: <blockquote data-quote="CapnZapp" data-source="post: 7938735" data-attributes="member: 12731">In less short:I made the following observation over in the GMG thread:I then decided to put my mouth where the money is, and calculated the expected (average) number of hit points gained from a Treat Wounds roll, taking into account the optimal choice of DC at each level.[SPOILER]<table style='width: 100%'><tr><td> </td><td> </td><td> </td><td>Trained </td><td>Expert </td><td>Master </td><td>Legendary </td></tr><tr><td> </td><td> </td><td>DC </td><td>15 </td><td>20 </td><td>30 </td><td>40 </td></tr><tr><td> </td><td> </td><td>Healing </td><td>10 </td><td>20 </td><td>30 </td><td>40 </td></tr><tr><td>Level </td><td>Bonus </td><td> </td><td> </td><td> </td><td> </td><td> </td></tr><tr><td>1 </td><td>7 </td><td>Trained </td><td>6,5 </td><td>8 </td><td>1,5 </td><td>2 </td></tr><tr><td>3 </td><td>11 </td><td>Expert </td><td>8,5 </td><td>12 </td><td>3 </td><td>2 </td></tr><tr><td>5 </td><td>14 </td><td>Expert </td><td>10 </td><td>15 </td><td>7,5 </td><td>2 </td></tr><tr><td>7 </td><td>18 </td><td>Master </td><td>10 </td><td>19 </td><td>13,5 </td><td>2 </td></tr><tr><td>9 </td><td>20 </td><td>Master </td><td>10 </td><td>20 </td><td>16,5 </td><td>2 </td></tr><tr><td>11 </td><td>23 </td><td>Master </td><td>10 </td><td>20 </td><td>21 </td><td>8 </td></tr><tr><td>13 </td><td>25 </td><td>Master </td><td>10 </td><td>20 </td><td>24 </td><td>12 </td></tr><tr><td>15 </td><td>30 </td><td>Legendary </td><td>10 </td><td>20 </td><td>30 </td><td>22 </td></tr><tr><td>17 </td><td>34 </td><td>Legendary </td><td>10 </td><td>20 </td><td>30 </td><td>30 </td></tr><tr><td>19 </td><td>36 </td><td>Legendary </td><td>10 </td><td>20 </td><td>30 </td><td>34 </td></tr></table>If I copy the formula from the level 1 Trained cell that yields 6,5 it is "=L$8*(21+MIN(MAX(-20; $J10-L$7); -1))/20".Translated from goobledygook into somewhat easier to understand English, the formula reads1. Take the average healing from the optimal use case (in my example, at level 1 we shoot for DC 15 for 2d8 healing = 10 if we round it to a nice number, which we did, didn't we, my precious)2. Find out the number of 5% units between my bonus (+7 in my example) and my target (DC 15). That number is 8.3. Subtract the number of units from twenty (plus one, because, well, math) to find out the number of die outcomes that gives success (21-8=13)3a. The MIN and MAX business is just there to stop the computer from going stupid, like thinking it can milk more than 10 points out of a DC 15 check by having a +15 or higher bonus.Actually, the critical success rule allows for an additional 9 points of healing, so maybe it's smarter than I give it credit for. Anyway, these nine points are still always smaller than the +10 we get from jumping to the next higher difficulty class, so let's ignore step 3a <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f642.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":)" title="Smile    :)"  data-smilie="1"data-shortname=":)" />4. Each die outcome that leads to success means 5%, so sum them up to find the percentage of success (13 x 5 = 65%)5. Multiply the healing number from Step 1 by the probability of getting it in Step 4: 65% out of 10 is 6,5.[/SPOILER]That number turned out to be very close to the treater's skill bonus, if we disregard critical successes and failures. (And honestly, since these doesn't double/halve the number, just the number of d8 dice, I would say it isn't worth the effort to nudge the numbers upward to take their effects into account. After all, the effects of a critical success is just 9 or less. I put a much higher value on keeping the formula simple and elegant.)Just three examples: 6,5 at level 1 (Medicine +7), 12 at level 3 (Medicine +11) and 21 at level 11 (Medicine +23). I am sure my numbers are off by a couple of points here and there, but still, as a rules designer, I would choose "simple and elegant" over even pretty large deviations! <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f642.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":)" title="Smile    :)"  data-smilie="1"data-shortname=":)" /></blockquote>

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