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Sandbox style: Rumors say a +1 sword is in a cave nearby. Go get it?
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<blockquote data-quote="Bill Zebub" data-source="post: 9627591" data-attributes="member: 7031982"><p>Come on, this is middle school <s>math</s> arithmetic.</p><p></p><p>If you only needed a 2 to hit, and now you need a 1, you go from hitting 19/20 to 20/20 (ignoring if a 1 is an auto-miss), so you've only increased your damage by 1/19th, or just over 5%.</p><p></p><p>On the other hand, if previously you needed a nat 20, now you hit on a 19 or a 20, so you've doubled your damage.</p><p></p><p>Yes, your odds of hitting "go up by 5%", but what determines the damage increase is the ratio of that 5% to your previous chance of hitting.</p><p></p><p></p><p></p><p></p><p>Yeah, but you multiply the increases. So if you increase your damage by 10% from hitting more often, and 12.5% from getting bonus damage, your overall increase is 1.1 * 1.125 = 1.2375, so that's almost a 24% increase in damage. Just from that +1/+1. At least against targets that you would have a 50% chance of hitting without the bonus.</p></blockquote><p></p>
[QUOTE="Bill Zebub, post: 9627591, member: 7031982"] Come on, this is middle school [S]math[/S] arithmetic. If you only needed a 2 to hit, and now you need a 1, you go from hitting 19/20 to 20/20 (ignoring if a 1 is an auto-miss), so you've only increased your damage by 1/19th, or just over 5%. On the other hand, if previously you needed a nat 20, now you hit on a 19 or a 20, so you've doubled your damage. Yes, your odds of hitting "go up by 5%", but what determines the damage increase is the ratio of that 5% to your previous chance of hitting. Yeah, but you multiply the increases. So if you increase your damage by 10% from hitting more often, and 12.5% from getting bonus damage, your overall increase is 1.1 * 1.125 = 1.2375, so that's almost a 24% increase in damage. Just from that +1/+1. At least against targets that you would have a 50% chance of hitting without the bonus. [/QUOTE]
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