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Message: <blockquote data-quote="CleverNickName" data-source="post: 9827667" data-attributes="member: 50987">We are graphing very different things, in very different ways.  Your graph is a probability curve, and shows the chances of rolling one particular number on 4d6 (drop lowest).  Your graph shows that the chances of rolling a 15 are about 10%, for example.My graph is a histogram--a summary of results.  I built a model in Excel that generates six ability scores using the 4d6 method, adds up the ability score modifiers for all six, and then reports the result.  Then I ran that model tens of thousands of times, and graphed the number of times that each result showed up.  For example, my graph shows that when it ran 160,840 iterations, about 20,000 of them were +5...about one out of every eight.I'm not sure I follow.  Your graph shows the probability of getting a 17 or 18 to be about 6% (~4% for a 17, and ~2% for an 18).  That means the probability of getting a 17 or lower is about 98%.It's mostly a matter of taste, if I had to guess.  Not everyone enjoys the same amount of randomness in the game, after all, so they make house-rules to suit their preferences.  And that's less a "math" thing and more of an "opinion" thing.</blockquote>