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Favorite Flanking Fixes in Five-E?
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<blockquote data-quote="CleverNickName" data-source="post: 7483738" data-attributes="member: 50987"><p>Not exactly. I am measuring the difference between two rolls. Then doing it again, and again, and again, ten thousand times. Then I find the average of that difference. Over thousands of iterations, that result approaches 6.6.</p><p></p><p>It's the same thing as if you sat at a table with two d20s, rolled them, and wrote down the difference between the two dice...ten thousand times...then added up all those results and divided the sum by ten thousand. It doesn't care which die has advantage or which has disadvantage, it's only looking at the raw result.</p><p></p><p>In my spreadsheet, the min, max stuff is to ensure I don't have negative results. I could have simply used the ABS(COL1-COL2) function now that I think about it. Your 3.3 result is just one half of the absolute distance between the positive and negative integers (which is 6.6).</p><p></p><p><span style="color: #008000">EDIT: I can sure use a lot of fancy words, can't I? Too bad I'm wrong. [MENTION=58197]Dausuul[/MENTION] and [MENTION=6801328]Elfcrusher[/MENTION] (and others) were precisely right. To measure the net benefit of Advantage, I have to measure from the average d20 result, not from the ends of this range. The result of getting Advantage is +3.325, or +3.3. Whenever you gain Advantage on anything involving a d20, you are statistically getting a +3 bonus. Thanks everyone!</span></p></blockquote><p></p>
[QUOTE="CleverNickName, post: 7483738, member: 50987"] Not exactly. I am measuring the difference between two rolls. Then doing it again, and again, and again, ten thousand times. Then I find the average of that difference. Over thousands of iterations, that result approaches 6.6. It's the same thing as if you sat at a table with two d20s, rolled them, and wrote down the difference between the two dice...ten thousand times...then added up all those results and divided the sum by ten thousand. It doesn't care which die has advantage or which has disadvantage, it's only looking at the raw result. In my spreadsheet, the min, max stuff is to ensure I don't have negative results. I could have simply used the ABS(COL1-COL2) function now that I think about it. Your 3.3 result is just one half of the absolute distance between the positive and negative integers (which is 6.6). [COLOR="#008000"]EDIT: I can sure use a lot of fancy words, can't I? Too bad I'm wrong. [MENTION=58197]Dausuul[/MENTION] and [MENTION=6801328]Elfcrusher[/MENTION] (and others) were precisely right. To measure the net benefit of Advantage, I have to measure from the average d20 result, not from the ends of this range. The result of getting Advantage is +3.325, or +3.3. Whenever you gain Advantage on anything involving a d20, you are statistically getting a +3 bonus. Thanks everyone![/COLOR] [/QUOTE]
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