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How much do you care about "balanced" dice?
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<blockquote data-quote="Umbran" data-source="post: 7593236" data-attributes="member: 177"><p>Setting aside the idea of purposely loaded dice....</p><p></p><p>Statistically, most of us just don't need to worry about the minor bias that arises from the usual manufacturing process for dice. This imbalance is notable when you roll the die a statistically relevant number of times. You can do a Chi-squared analysis on a hundred rolls, for example. For lesser numbers of rolls, you can't tell the bias from just randomness.</p><p></p><p>I play a cleric in a D&D game at work. I may roll a d20 five times in a session, maybe 10 on a really busy night. And I have three sets of dice in my bag for this game, and I'm swapping between them. I'd have to go through 30 to 60 sessions (at the rate we play, a year and more of sessions) before I'd be able to measure the typical die bias on any of them, much less be able to really blame bad or good fortune upon the bias of the dice, and I am *mixing* several random small biases, which is apt to give me something like average overall behavior.</p><p></p><p>So, a die has to be egregiously biased before I worry about it.</p></blockquote><p></p>
[QUOTE="Umbran, post: 7593236, member: 177"] Setting aside the idea of purposely loaded dice.... Statistically, most of us just don't need to worry about the minor bias that arises from the usual manufacturing process for dice. This imbalance is notable when you roll the die a statistically relevant number of times. You can do a Chi-squared analysis on a hundred rolls, for example. For lesser numbers of rolls, you can't tell the bias from just randomness. I play a cleric in a D&D game at work. I may roll a d20 five times in a session, maybe 10 on a really busy night. And I have three sets of dice in my bag for this game, and I'm swapping between them. I'd have to go through 30 to 60 sessions (at the rate we play, a year and more of sessions) before I'd be able to measure the typical die bias on any of them, much less be able to really blame bad or good fortune upon the bias of the dice, and I am *mixing* several random small biases, which is apt to give me something like average overall behavior. So, a die has to be egregiously biased before I worry about it. [/QUOTE]
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How much do you care about "balanced" dice?
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