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<blockquote data-quote="KarinsDad" data-source="post: 2965767" data-attributes="member: 2011">Sorry, but your numbers are off slightly.For example, there are 21 different ways to roll an 18 out of 1296 different possible rolls. This is easy to prove (e.g. 1 of 6 6 6 6, 5 of 1-5 6 6 6, 5 of 6 1-5 6 6, 5 of 6 6 1-5 6, 5 of 6 6 6 1-5).So, that's a 1.62% chance of rolling an 18, not a 1.23% chance as per your table. Your table is obviously incorrect.The actual point buy for your system (i.e. assigning a -1 for a 7, etc.) results in a 28.52778 point buy. If you assign 0s for 3s through 7s, it comes out 29.13426.This does not take into account re-rolls where the point buy increases by several points.Btw, the median score for 4D6 drop lowest is 12.2446.Also, 5D6 drop lowest two works out to 38.04167 average point buy with a median of 13.43017.To make sure that my answer was correct, I had several different cross checks in my excel spreadsheet. For example, after finding out how many 3s, 4s, ..., and 18s came up, I added them up and it came to 1296. I even did the final calculations two different ways to make sure I came up with the same answer. I have a high confidence that my answer is accurate, although there is still a chance that I have an error somewhere as well since I did not actually write a program where I could check the code, instead I am using a spreadsheet (where if the data in a cell is inaccurate, it could change the answer).</blockquote>

[QUOTE="KarinsDad, post: 2965767, member: 2011"] Sorry, but your numbers are off slightly. For example, there are 21 different ways to roll an 18 out of 1296 different possible rolls. This is easy to prove (e.g. 1 of 6 6 6 6, 5 of 1-5 6 6 6, 5 of 6 1-5 6 6, 5 of 6 6 1-5 6, 5 of 6 6 6 1-5). So, that's a 1.62% chance of rolling an 18, not a 1.23% chance as per your table. Your table is obviously incorrect. The actual point buy for your system (i.e. assigning a -1 for a 7, etc.) results in a 28.52778 point buy. If you assign 0s for 3s through 7s, it comes out 29.13426. This does not take into account re-rolls where the point buy increases by several points. Btw, the median score for 4D6 drop lowest is 12.2446. Also, 5D6 drop lowest two works out to 38.04167 average point buy with a median of 13.43017. To make sure that my answer was correct, I had several different cross checks in my excel spreadsheet. For example, after finding out how many 3s, 4s, ..., and 18s came up, I added them up and it came to 1296. I even did the final calculations two different ways to make sure I came up with the same answer. I have a high confidence that my answer is accurate, although there is still a chance that I have an error somewhere as well since I did not actually write a program where I could check the code, instead I am using a spreadsheet (where if the data in a cell is inaccurate, it could change the answer). [/QUOTE]

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