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<blockquote data-quote="Keenath" data-source="post: 4038737" data-attributes="member: 59792"><p>Hehe, well, actually no coins or dice produce any given value exactly -- Interestingly, probability <em>demands</em> that it be also exceedingly rare to come up precisely the predicted value, no matter how many tests you run. A fair coin flipped X times will almost always be a few Heads more or less than X/2, and sometimes quite a bit off; by the same token, a fair d20 rolled a million times will be CLOSE to 5% each -- but will never be entirely evenly distributed. (Technically, it COULD happen, but the chances of precisely correct distribution become vanishingly small as you increase the number of tests.)</p><p></p><p></p><p>I.... I'm not sure what you meant by that. Reporting bias means that an objective analysis would show that your "lucky die" is no luckier than any other die, but psychologically, you remember the times when the "lucky die" came through in a pinch -- times when it met your expectation of good luck -- and you tend to forget that it often doesn't come through.</p><p></p><p>Or are you saying it's reporting bias when a high fort guy feels like he always fails fort saves (which is, yes, reporting bias)?</p><p></p><p>Reporting bias (AKA 'recall bias') is a bit of an optimist/pessimist thing -- depending on what you expect, you tend to remember events that agree with you. It happens all the time on the boards here -- you see somebody claim that everyone agrees with them, when actually there are three people agreeing and dozens refuting. They just mentally focus on the agreement and overlook the disagreements.</p><p></p><p>Hehehe.</p><p></p><p> <img src="http://www.enworld.org/forum/images/smilies/laugh.png" class="smilie" loading="lazy" alt=":lol:" title="Laughing :lol:" data-shortname=":lol:" /></p></blockquote><p></p>
[QUOTE="Keenath, post: 4038737, member: 59792"] Hehe, well, actually no coins or dice produce any given value exactly -- Interestingly, probability [I]demands[/I] that it be also exceedingly rare to come up precisely the predicted value, no matter how many tests you run. A fair coin flipped X times will almost always be a few Heads more or less than X/2, and sometimes quite a bit off; by the same token, a fair d20 rolled a million times will be CLOSE to 5% each -- but will never be entirely evenly distributed. (Technically, it COULD happen, but the chances of precisely correct distribution become vanishingly small as you increase the number of tests.) I.... I'm not sure what you meant by that. Reporting bias means that an objective analysis would show that your "lucky die" is no luckier than any other die, but psychologically, you remember the times when the "lucky die" came through in a pinch -- times when it met your expectation of good luck -- and you tend to forget that it often doesn't come through. Or are you saying it's reporting bias when a high fort guy feels like he always fails fort saves (which is, yes, reporting bias)? Reporting bias (AKA 'recall bias') is a bit of an optimist/pessimist thing -- depending on what you expect, you tend to remember events that agree with you. It happens all the time on the boards here -- you see somebody claim that everyone agrees with them, when actually there are three people agreeing and dozens refuting. They just mentally focus on the agreement and overlook the disagreements. Hehehe. :lol: [/QUOTE]
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