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May 13, 2013 at 17:53 comment added BlueRaja - Danny Pflughoeft This can be easily determined without a graph, just solve for x in 2(x-15) > x
Oct 19, 2012 at 15:45 comment added RibsNGibs @Pureferret In my graph, the curved line is the "chance you'll hit at least once with rapidfire" and the straight line is the "chance you'll hit with regular fire". The curved line is higher than the straight one between 33.38% and 96.62%. So if you are taking a shot at a 4 health alien with your assault, and your to-hit percentage is 40%, believe it or not you are more likely to kill it taking two 25% shots instead of one 40% one. Same with taking two 75% shots instead of one 90% shot. Etc.
Oct 19, 2012 at 15:45 comment added RibsNGibs @Pureferret: Sorry, I shouldn't have muddled the issue. tl;dr: unless you are worried specifically about conserving ammo, always use rapid shot if your regular fire % is between 35 and 95. But to explain further - Skoodge's graph shows that your expected damage output over multiple trials is higher using rapid shot on anything over 30%, but that's not exactly the same thing as "chance to hit at least once". With the assault (who has rapid fire), often your situation will be such that one HIT will kill the alien, so you should maximize your chance of hitting, not damage.
Oct 19, 2012 at 10:51 comment added AncientSwordRage @RibsNGibs care to explain?
Oct 18, 2012 at 22:01 comment added RibsNGibs Note that if even if you are not trying to maximize damage, but maximize your chance of hitting at least once (e.g. if you absolutely need to hit this 5-health sectopod on this one last move by your last soldier), it is still always worth it between 35% and 95% accuracy. (more precisely, if your chance to hit is between 33.38% and 96.62%, you are more likely to hit at least once using rapidfire). See: wolframalpha.com/input/?i=x%3D1-%28%281.15-x%29%5E2%29
Oct 18, 2012 at 20:05 history edited Invader Skoodge CC BY-SA 3.0
i think this is a little clearer how i did the math
Oct 18, 2012 at 15:40 history edited Invader Skoodge CC BY-SA 3.0
added 46 characters in body
Oct 18, 2012 at 15:31 history edited Invader Skoodge CC BY-SA 3.0
less spacing
Oct 18, 2012 at 14:10 comment added Zelda No time for lazy when there's science to do (when I look out there it makes me GLaD I'm not you~)
Oct 18, 2012 at 14:09 vote accept kotekzot
Oct 18, 2012 at 13:52 comment added Invader Skoodge So much for being lazy.
Oct 18, 2012 at 13:52 history answered Invader Skoodge CC BY-SA 3.0