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<blockquote data-quote="CapnZapp" data-source="post: 6699560" data-attributes="member: 12731">In the simple sense, that works because the average for rolling is higher than taking the risk-free average. Of course, by your method, this average is significantly higher, so much so that I don't see any statistically aware player choosing to take the average. The risk is lowered greatly (the risk of rolling lower than the PHB average, that is), so the reason to choose to take the average is much weaker. Not that there's anything wrong with that. Just reroll until you roll higher than or equal to the PHB's listed average value. A straight-forward strategy that doesn't involve &quot;greed&quot;, just a basic knowledge of probabilities.&nbsp; A fighter, for instance, would roll until he gets a 6 or higher, no anguished decisions necessary. Just like when you play black jack - you need to know when to stop and to do that even before you start.</blockquote>

[QUOTE="CapnZapp, post: 6699560, member: 12731"] In the simple sense, that works because the average for rolling is higher than taking the risk-free average. Of course, by your method, this average is significantly higher, so much so that I don't see any statistically aware player choosing to take the average. The risk is lowered greatly (the risk of rolling lower than the PHB average, that is), so the reason to choose to take the average is much weaker. Not that there's anything wrong with that. Just reroll until you roll higher than or equal to the PHB's listed average value. A straight-forward strategy that doesn't involve "greed", just a basic knowledge of probabilities. A fighter, for instance, would roll until he gets a 6 or higher, no anguished decisions necessary. Just like when you play black jack - you need to know when to stop and to do that even before you start. [/QUOTE]

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