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<blockquote data-quote="AllisterH" data-source="post: 4068835" data-attributes="member: 51325"><p>Actually, that's not really possible UNLESS you actually purposely change the "average" value for a 10th level PC when rolling the die. Statistics math state that the more times you roll a die, the more likely the result of adding each die roll will be the average of the die * number of die. Basically, the standard deviation shrinks.</p><p></p><p>In 3E, what really determined the wide swings in HP was the CON being added. </p><p></p><p>At 10th level, a difference in +1 in two wizard's CON modifier would result in a difference of 10 HP which from what I remember of Statistics math, should be larger than the possible standard deviation of rolling a d4. At a guess, it might break even with a d6.</p><p></p><p>At 20th level though, the effect of +1 mod difference would mean more to a barbarian's total HP than the rolling of a d12 20 times.</p><p></p><p>That's only for a +1 difference in a CON modifier. A +2 difference though, that simply blows away the std deviation at 10th level even for a barbarian I'm willing to bet.</p></blockquote><p></p>
[QUOTE="AllisterH, post: 4068835, member: 51325"] Actually, that's not really possible UNLESS you actually purposely change the "average" value for a 10th level PC when rolling the die. Statistics math state that the more times you roll a die, the more likely the result of adding each die roll will be the average of the die * number of die. Basically, the standard deviation shrinks. In 3E, what really determined the wide swings in HP was the CON being added. At 10th level, a difference in +1 in two wizard's CON modifier would result in a difference of 10 HP which from what I remember of Statistics math, should be larger than the possible standard deviation of rolling a d4. At a guess, it might break even with a d6. At 20th level though, the effect of +1 mod difference would mean more to a barbarian's total HP than the rolling of a d12 20 times. That's only for a +1 difference in a CON modifier. A +2 difference though, that simply blows away the std deviation at 10th level even for a barbarian I'm willing to bet. [/QUOTE]
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