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Probability Distribution of Dice
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<blockquote data-quote="pawned79" data-source="post: 760124" data-attributes="member: 9284"><p>I am an aerospace engineer, so here's my input...</p><p></p><p>First off, dice do not a gaussian distribution, they are a rectangular distribution. No matter what anyone says, you are equally as likely to roll a 1 on a d20 as you are as rolling a 10 (assuming the die was PERFECT).</p><p></p><p>So, for a single die, lets say a d6, you have to generate a random interger between 1 and 6, with an equal distribution. If you have any spreadsheet program like Excel, or if you happen to have MathCAD or MathWork's MatLAB, this is really easy. I have a Texas Instruments TI-83 calculator, and it will even generate a random interger for me. Remember, you want a rectangular distribution, or equal distribution, or symetric distribution, blah blah. If you see something that asks to input a standard deviation, you don't want that.</p><p></p><p>Now, the big problem is generating the random number. If you want to write code to actually generate a random number, you've got a LOT of work ahead of you. A lot of a nerdy guys get paid a lot of money to do that. Now, I'm not sure, but mIRC might already have a random number generator.</p><p></p><p>I would handle each die individually, and then sum them up depending on how many dice you are throwing. If two rectangular distributions are combined (ie a pair of dice), you get a triangluar distribution. If you combine three or more dice, your distribution quickly begins to look like a gaussian distribution.</p><p></p><p>Now, looking back, I know I've typed a lot of garbage, and I don't know if any of it actually helped. If you are not a code writting kinda guy, but you do actually have Microsoft Excel or something similar, send me an email, and I'll write you a code and email it back.</p><p></p><p>I can't make a random number generator though, but I know how to manipulate them to get what I want... that's engineering. ;-)</p><p></p><p>Patrick</p></blockquote><p></p>
[QUOTE="pawned79, post: 760124, member: 9284"] I am an aerospace engineer, so here's my input... First off, dice do not a gaussian distribution, they are a rectangular distribution. No matter what anyone says, you are equally as likely to roll a 1 on a d20 as you are as rolling a 10 (assuming the die was PERFECT). So, for a single die, lets say a d6, you have to generate a random interger between 1 and 6, with an equal distribution. If you have any spreadsheet program like Excel, or if you happen to have MathCAD or MathWork's MatLAB, this is really easy. I have a Texas Instruments TI-83 calculator, and it will even generate a random interger for me. Remember, you want a rectangular distribution, or equal distribution, or symetric distribution, blah blah. If you see something that asks to input a standard deviation, you don't want that. Now, the big problem is generating the random number. If you want to write code to actually generate a random number, you've got a LOT of work ahead of you. A lot of a nerdy guys get paid a lot of money to do that. Now, I'm not sure, but mIRC might already have a random number generator. I would handle each die individually, and then sum them up depending on how many dice you are throwing. If two rectangular distributions are combined (ie a pair of dice), you get a triangluar distribution. If you combine three or more dice, your distribution quickly begins to look like a gaussian distribution. Now, looking back, I know I've typed a lot of garbage, and I don't know if any of it actually helped. If you are not a code writting kinda guy, but you do actually have Microsoft Excel or something similar, send me an email, and I'll write you a code and email it back. I can't make a random number generator though, but I know how to manipulate them to get what I want... that's engineering. ;-) Patrick [/QUOTE]
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