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The Perils of Dump Stats
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<blockquote data-quote="UngeheuerLich" data-source="post: 9228367" data-attributes="member: 59057"><p>Those 10% differences start to matte however, when it is not a single saving throw but a series of throws.</p><p></p><p>Lets assume a DC of 13 at level 1 (not unheard of) and a save bonus of +1 vs - 1.</p><p></p><p>With +1, your chance to save is 40% = 0.4, with -1, it is just 30% = 0.3.</p><p></p><p>Gemometric distribution has an expectation value of 1/p. So if you are hit, with a +1 bonus you look at ab average disable time of 1/0.4 = 2.5 rounds. With a -1 bonus you look at an average of 1/0.3 = 3.33. Nearly one round longer, or about 33% longer disable time. Which is quite significant.</p><p></p><p>I spare you the math, but...</p><p>... if the DC is 14, it is a 40% increase.</p><p>... if the DC is 15, it is a 50% increase.</p><p>... if the DC is 16, it is abouta 67% increase.</p><p>... if the DC is 17, it is a 100% increase.</p><p>And so on.</p><p></p><p>So the conclusion is: a +2 bonus does matter if nothing depends on a single save.</p></blockquote><p></p>
[QUOTE="UngeheuerLich, post: 9228367, member: 59057"] Those 10% differences start to matte however, when it is not a single saving throw but a series of throws. Lets assume a DC of 13 at level 1 (not unheard of) and a save bonus of +1 vs - 1. With +1, your chance to save is 40% = 0.4, with -1, it is just 30% = 0.3. Gemometric distribution has an expectation value of 1/p. So if you are hit, with a +1 bonus you look at ab average disable time of 1/0.4 = 2.5 rounds. With a -1 bonus you look at an average of 1/0.3 = 3.33. Nearly one round longer, or about 33% longer disable time. Which is quite significant. I spare you the math, but... ... if the DC is 14, it is a 40% increase. ... if the DC is 15, it is a 50% increase. ... if the DC is 16, it is abouta 67% increase. ... if the DC is 17, it is a 100% increase. And so on. So the conclusion is: a +2 bonus does matter if nothing depends on a single save. [/QUOTE]
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