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<blockquote data-quote="Ulorian - Agent of Chaos" data-source="post: 2597276" data-attributes="member: 16668">DanMcS and DrSpunj.. in case you were curious about the math behind your formula.Formula for calculating odds to hit:d20 + MAB &gt;= 10 + ACMTo convert this formula to calculate odds to dodge:d20 + MAB &lt; 10 + ACMDrSpunj wants a high roll to signify a success, so have the side of the equation with the d20 be greater than the other side. You can do this by multiplying both sides of the equation by -1 (this is the same principle that explains why -4 is bigger than -5, but 5 is bigger than 4).-d20 - MAB &gt; -10 - ACMAdd ACM to both sides of the equation, then add MAB to both sides.-d20 - MAB + MAB + ACM &gt; -10 - ACM + ACM + MAB-d20 + ACM &gt; -10 + MABAdd 21 to both sides.21 - d20 + ACM &gt; -10 + 21 + MAB(21 - d20) + ACM &gt; 11 + MABNotice that 21 - d20 gives you a range of numbers between 1 and 20. In other words:21 - d20 = d20So: (21 - d20) + ACM &gt; 11 + MABd20 + ACM &gt; 11 + MABChange the 'greater than' sign to 'greater than and equal to' by increasing the value of the right hand side by 1:d20 + ACM &gt;= 12 + MABGood on you guys for catching that error in the Unearthed Arcana!</blockquote>

[QUOTE="Ulorian - Agent of Chaos, post: 2597276, member: 16668"] DanMcS and DrSpunj.. in case you were curious about the math behind your formula. Formula for calculating odds to hit: d20 + MAB >= 10 + ACM To convert this formula to calculate odds to dodge: d20 + MAB < 10 + ACM DrSpunj wants a high roll to signify a success, so have the side of the equation with the d20 be greater than the other side. You can do this by multiplying both sides of the equation by -1 (this is the same principle that explains why -4 is bigger than -5, but 5 is bigger than 4). -d20 - MAB > -10 - ACM Add ACM to both sides of the equation, then add MAB to both sides. -d20 - MAB + MAB + ACM > -10 - ACM + ACM + MAB -d20 + ACM > -10 + MAB Add 21 to both sides. 21 - d20 + ACM > -10 + 21 + MAB (21 - d20) + ACM > 11 + MAB Notice that 21 - d20 gives you a range of numbers between 1 and 20. In other words: 21 - d20 = d20 So: (21 - d20) + ACM > 11 + MAB d20 + ACM > 11 + MAB Change the 'greater than' sign to 'greater than and equal to' by increasing the value of the right hand side by 1: d20 + ACM >= 12 + MAB Good on you guys for catching that error in the Unearthed Arcana! [/QUOTE]

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