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<blockquote data-quote="ph0rk" data-source="post: 1441342" data-attributes="member: 16266">A math major friend of mine and I were bored in the coffee shop one day and decided to figure out the difference between 6 rolld os 3d6 and 6 rolls, rerolling any 1's.(tougher than it sounds)As niether of us had any probability texts with us, we ended up going brute force.I no longer have the results before me, but as you may know, the average score for 3d6 is 10.5The average for 3d6 drop any 1's was around ~11.728(by brute force we determined the distribution of final scores using the reroll 1's method and calculated average score based on this distribution)In essence, it turned them into 5 sided dice, or very nearly so. (and the average score for 3 dice numbered 2-6 is 12)where it gets interesting is when you stack multiple methods for eliminating low scores, like 4d6 reroll 1's drop the lowest, or 5d6, etc.&nbsp; Then your average approaches 13.5! (and will continue to raise by 1.5, give or take, for each effective number you eliminate)you can overshoot the level of scores 32 point buy will give you quite easily if you combine 2 or more methods.</blockquote>

[QUOTE="ph0rk, post: 1441342, member: 16266"] A math major friend of mine and I were bored in the coffee shop one day and decided to figure out the difference between 6 rolld os 3d6 and 6 rolls, rerolling any 1's. (tougher than it sounds) As niether of us had any probability texts with us, we ended up going brute force. I no longer have the results before me, but as you may know, the average score for 3d6 is 10.5 The average for 3d6 drop any 1's was around ~11.728 (by brute force we determined the distribution of final scores using the reroll 1's method and calculated average score based on this distribution) In essence, it turned them into 5 sided dice, or very nearly so. (and the average score for 3 dice numbered 2-6 is 12) where it gets interesting is when you stack multiple methods for eliminating low scores, like 4d6 reroll 1's drop the lowest, or 5d6, etc. Then your average approaches 13.5! (and will continue to raise by 1.5, give or take, for each effective number you eliminate) you can overshoot the level of scores 32 point buy will give you quite easily if you combine 2 or more methods. [/QUOTE]

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