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General Tabletop Discussion
*Pathfinder & Starfinder
Can we make "charge die" core, please?
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<blockquote data-quote="Lackhand" data-source="post: 3816917" data-attributes="member: 36160"><p>well, yeah, my math checks out. Sheesh! <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":p" title="Stick out tongue :p" data-smilie="7"data-shortname=":p" /></p><p></p><p>[offtopic]</p><p>I suspect the 63 percent thing is a standard dev on the bellcurve-of-love you've generated with NdN rolls, but am neither certain of this fact nor qualified to make that statement, not having really thought about it at all.</p><p>[/off topic]</p><p></p><p>So, in short, if you use the die size as the charge equivalent, 2/3 of wands will fail by the time you get That Many Rolls.</p><p></p><p>I, personally, wouldn't use die size as the charge equivalent, though, because in fact, "most" (meaning, more than half, meaning more than 50%) wands will fail before this point by a significant margin.</p><p></p><p>Figure out what X makes ([die size]^X - [die size -1]^X)/([die size]^X) just greater than .5, and that's the charge equivalency for that die size, as that's the minimum value such that "most" wands will have failed by that roll.</p><p></p><p>a d2 crosses over in 1 trial (well, obviously : p)</p><p>a d4 crosses over between 2 and 3 trials.</p><p>a d6 crosses over between 3 and 4 trials.</p><p>a d8 crosses over between 5 and 6 trials.</p><p>a d10 crosses over between 6 and 7 trials.</p><p>a d12 crosses over between 7 and 8 trials.</p><p>a d20 crosses over between 13 and 14 trials.</p><p>a d30 crosses over between 20 and 21 trials.</p><p>a d100 crosses over between 68 and 69 trials.</p><p></p><p>Thus, use the larger value for each of the above as a die value, I'd suggest.</p><p>Therefore, a 50 charge wand (today) should start with a d30 and end with a d8, for 54 uses from "most" wands.</p><p>10 charge objects can be approximated with a d10 (13 expected uses);</p><p>25 charge objects with a d12 (21 expected uses).</p><p></p><p>I second the motion that something taking more charges simply require more rolls on whatever die the charged object is already on.</p></blockquote><p></p>
[QUOTE="Lackhand, post: 3816917, member: 36160"] well, yeah, my math checks out. Sheesh! :p [offtopic] I suspect the 63 percent thing is a standard dev on the bellcurve-of-love you've generated with NdN rolls, but am neither certain of this fact nor qualified to make that statement, not having really thought about it at all. [/off topic] So, in short, if you use the die size as the charge equivalent, 2/3 of wands will fail by the time you get That Many Rolls. I, personally, wouldn't use die size as the charge equivalent, though, because in fact, "most" (meaning, more than half, meaning more than 50%) wands will fail before this point by a significant margin. Figure out what X makes ([die size]^X - [die size -1]^X)/([die size]^X) just greater than .5, and that's the charge equivalency for that die size, as that's the minimum value such that "most" wands will have failed by that roll. a d2 crosses over in 1 trial (well, obviously : p) a d4 crosses over between 2 and 3 trials. a d6 crosses over between 3 and 4 trials. a d8 crosses over between 5 and 6 trials. a d10 crosses over between 6 and 7 trials. a d12 crosses over between 7 and 8 trials. a d20 crosses over between 13 and 14 trials. a d30 crosses over between 20 and 21 trials. a d100 crosses over between 68 and 69 trials. Thus, use the larger value for each of the above as a die value, I'd suggest. Therefore, a 50 charge wand (today) should start with a d30 and end with a d8, for 54 uses from "most" wands. 10 charge objects can be approximated with a d10 (13 expected uses); 25 charge objects with a d12 (21 expected uses). I second the motion that something taking more charges simply require more rolls on whatever die the charged object is already on. [/QUOTE]
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Community
General Tabletop Discussion
*Pathfinder & Starfinder
Can we make "charge die" core, please?
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