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General Tabletop Discussion
*Pathfinder & Starfinder
A Radical (Not to Mention Controversial) Change to Characteristic Determination
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<blockquote data-quote="SBMC" data-source="post: 2474877" data-attributes="member: 30040"><p><strong><span style="color: white"><span style="font-family: 'Arial'">Recall my point to your statement:</span></span></strong></p><p></p><p></p><p></p><p><strong><span style="color: white"><span style="font-family: 'Arial'">And my response to that:</span></span></strong></p><p></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">---------------------------------------------------------------------- </span></span></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">Really? Please tell me how the probability of rolling dice has to do with a -4 or a +4. That was the point I had made in response to the "linear" and "curve" statements made by several others as well here.</span></span></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">The CONSEQUENCE is the modifier; that does not drive the probability of 3 1's or 3 6's. The chances are equal for either one. Feel free to look that one up - you'll find it under "Game Theory". It dates back to the 1960's. In their it identifies the proof why casinos will always end up ahead.</span></span></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">As I had said "gambling". When you roll dice to generate ability scores you are hoping that you end up on the for right of the curve.</span></span></p><p></p><p></p><p></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">Point-Buy is not really measurable by any sort of probability as there is little "chance". It is a decision by an individual. </span></span></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">Even when rolling 15d6 the probability for any of the 6 numbers coming up on any dice is indeed equal. However given the mathematics involved and 15d6 the likelihood of the numbers being evenly distributed over a wider numeric spectrum is higher. However note that the probability of each die is still the same per die if you roll 1 or a million of them. It is the combination of those curves that push the numbers towards the middle.</span></span></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">HOWEVER if you do what most folks do and DROP some lower dice then the probability of having a higher average increases exponentially based on the number of die rolled. Tink about it. If I have</span></span></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">6</span></span></p><p><span style="color: white"><span style="font-family: 'Arial'">5</span></span></p><p><span style="color: white"><span style="font-family: 'Arial'">4</span></span></p><p><span style="color: white"><span style="font-family: 'Arial'">3</span></span></p><p><span style="color: white"><span style="font-family: 'Arial'">2</span></span></p><p><span style="color: white"><span style="font-family: 'Arial'">1</span></span></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">My average is 3.5</span></span></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">I drop the lowest 2</span></span></p><p><span style="color: white"><span style="font-family: 'Arial'">6</span></span> </p><p><span style="color: white"><span style="font-family: 'Arial'">5</span></span> </p><p><span style="color: white"><span style="font-family: 'Arial'">4</span></span> </p><p><span style="color: white"><span style="font-family: 'Arial'">3</span></span> </p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">My average is 4.5</span></span></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">Choose any numbers you want (unless they are all the same of course - which has an equal probability of occurring as anything else per die; less probable for the whole lot simultaneously) and the same thing happens. Thus your statement is no entirely correct.</span></span></p><p></p><p></p><p></p><p></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">Did you actually read the statement I made? Here it is for reference:</span></span></p><p></p><p></p><p></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">The point I was making is that I, or others here most likely, could start throwing mathematics, diagrams, mapping of curves, etc. up on the actual board and others may not like it. Perhaps I am wrong. I also, in making my statement, did not want to start getting into a discussion about the actual calculation of probabilities - but it appears perhaps you do want that.</span></span></p><p></p><p><span style="color: white"><span style="font-family: 'Arial'">You don't hate to say it - you wanted to say it otherwise you would not have. I would venture to guess it is because you ran out of anything substantial to say given you spent half your post criticizing a portion of mine and virtually ignoring the meat of it.</span></span></p></blockquote><p></p>
[QUOTE="SBMC, post: 2474877, member: 30040"] [b][color=white][font=Arial]Recall my point to your statement:[/font][/color][/b] [color=white][font=Arial][/font][/color][color=white][font=Arial][/font][/color] [b][color=white][/color][/b] [b][color=white][font=Arial]And my response to that:[/font][/color][/b] [color=white][font=Arial][/font][/color][color=white][font=Arial][/font][/color] [color=white][font=Arial]---------------------------------------------------------------------- [/font][/color] [color=white][font=Arial][/font][/color] [color=white][/color] [color=white][font=Arial]Really? Please tell me how the probability of rolling dice has to do with a -4 or a +4. That was the point I had made in response to the "linear" and "curve" statements made by several others as well here.[/font][/color] [color=white][/color] [color=white][font=Arial]The CONSEQUENCE is the modifier; that does not drive the probability of 3 1's or 3 6's. The chances are equal for either one. Feel free to look that one up - you'll find it under "Game Theory". It dates back to the 1960's. In their it identifies the proof why casinos will always end up ahead.[/font][/color] [color=white][/color] [color=white][font=Arial]As I had said "gambling". When you roll dice to generate ability scores you are hoping that you end up on the for right of the curve.[/font][/color] [color=white][/color] [color=white][font=Arial][/font][/color] [color=white][/color] [color=white][font=Arial]Point-Buy is not really measurable by any sort of probability as there is little "chance". It is a decision by an individual. [/font][/color] [color=white][/color] [color=white][font=Arial]Even when rolling 15d6 the probability for any of the 6 numbers coming up on any dice is indeed equal. However given the mathematics involved and 15d6 the likelihood of the numbers being evenly distributed over a wider numeric spectrum is higher. However note that the probability of each die is still the same per die if you roll 1 or a million of them. It is the combination of those curves that push the numbers towards the middle.[/font][/color] [color=white][/color] [color=white][font=Arial]HOWEVER if you do what most folks do and DROP some lower dice then the probability of having a higher average increases exponentially based on the number of die rolled. Tink about it. If I have[/font][/color] [color=white][/color] [color=white][font=Arial]6[/font][/color] [color=white][font=Arial]5[/font][/color] [color=white][font=Arial]4[/font][/color] [color=white][font=Arial]3[/font][/color] [color=white][font=Arial]2[/font][/color] [color=white][font=Arial]1[/font][/color] [color=white][/color] [color=white][font=Arial]My average is 3.5[/font][/color] [color=white][/color] [color=white][font=Arial]I drop the lowest 2[/font][/color] [color=white][font=Arial]6[/font][/color] [color=white][font=Arial]5[/font][/color] [color=white][font=Arial]4[/font][/color] [color=white][font=Arial]3[/font][/color] [color=white][/color] [color=white][font=Arial]My average is 4.5[/font][/color] [color=white][/color] [color=white][font=Arial]Choose any numbers you want (unless they are all the same of course - which has an equal probability of occurring as anything else per die; less probable for the whole lot simultaneously) and the same thing happens. Thus your statement is no entirely correct.[/font][/color] [color=white][/color] [color=white][font=Arial][/font][/color] [color=white][/color] [color=white][font=Arial]Did you actually read the statement I made? Here it is for reference:[/font][/color] [color=white][/color] [color=white][font=Arial][/font][/color] [color=white][/color] [color=white][font=Arial]The point I was making is that I, or others here most likely, could start throwing mathematics, diagrams, mapping of curves, etc. up on the actual board and others may not like it. Perhaps I am wrong. I also, in making my statement, did not want to start getting into a discussion about the actual calculation of probabilities - but it appears perhaps you do want that.[/font][/color] [color=white][/color] [color=white][font=Arial]You don't hate to say it - you wanted to say it otherwise you would not have. I would venture to guess it is because you ran out of anything substantial to say given you spent half your post criticizing a portion of mine and virtually ignoring the meat of it.[/font][/color] [/QUOTE]
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