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Fair Random Stat Generation
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<blockquote data-quote="Camelot" data-source="post: 4858772" data-attributes="member: 82617"><p>Okay, point buy is nice, and I prefer it myself for real games, but what about when you want to make random characters? Well, you do what the rulebook says: roll 4d6 and add the 3 highest dice for each stat. This way, you get a number from 8 to 18.</p><p> </p><p>But how come you always end up with a lower than average ability score set? Oh, you say to yourself, it must just be bad luck. Maybe next time. But then you look at the rules and it clearly says that when you roll scores, you will "on average come out <em>a little worse</em> than if you had used the standard array." I don't want the average to be a little worse, I want the average to be average!</p><p> </p><p>The average score with stat generation is about 13. If you buy stats to make them all the same, you will get 5 being 13 and one being 14. So we'll say 13 is average.</p><p> </p><p>If you roll 2d6, add them together, then add 6, you will get a number from 8 to 18. And the average? 13 on the nose. Perfect! *Hey, that's not average!* What are you talking about, of course it's average! *No, average is 13 + 1/6 because of that 14!* Well, true, so you're still a <em>teeny-tiny </em>bit less than average, but 13 is closer to 13.1666 than 11, which is about the average from rolling stats the old way.</p><p> </p><p>Is my math about right? I'm going to give this a try and let you know how it works. Let me know what you think!</p></blockquote><p></p>
[QUOTE="Camelot, post: 4858772, member: 82617"] Okay, point buy is nice, and I prefer it myself for real games, but what about when you want to make random characters? Well, you do what the rulebook says: roll 4d6 and add the 3 highest dice for each stat. This way, you get a number from 8 to 18. But how come you always end up with a lower than average ability score set? Oh, you say to yourself, it must just be bad luck. Maybe next time. But then you look at the rules and it clearly says that when you roll scores, you will "on average come out [I]a little worse[/I] than if you had used the standard array." I don't want the average to be a little worse, I want the average to be average! The average score with stat generation is about 13. If you buy stats to make them all the same, you will get 5 being 13 and one being 14. So we'll say 13 is average. If you roll 2d6, add them together, then add 6, you will get a number from 8 to 18. And the average? 13 on the nose. Perfect! *Hey, that's not average!* What are you talking about, of course it's average! *No, average is 13 + 1/6 because of that 14!* Well, true, so you're still a [I]teeny-tiny [/I]bit less than average, but 13 is closer to 13.1666 than 11, which is about the average from rolling stats the old way. Is my math about right? I'm going to give this a try and let you know how it works. Let me know what you think! [/QUOTE]
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