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BigPapaSmurf
SFN Die Hard
3192 Posts |
 Posted - 05/21/2008 : 05:26:10
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So I came up with a cool probability equation, but I have no idea how to prove it, so if anyone is up to the task here it is.(dont worry you wont be doing my homework)
V1= Type of dice 4,6,8,10,20 sided(any number really)
V2= Number of dice rolls
V3= # of sides desired, # of target numbers (trying to roll a 4, 6 or 12 on a 20dice would be V3=3
Probabilty of rolling at least one target # on at least one dice roll,
{(V1^V2)-[(V1-V3)^V2]}/(V1^V2)
Ive been trying to get this equation in my head for ages, I finally put it to paper and got the equation, the proof I don't need but it would be cool.
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filthy
SFN Die Hard
USA
14408 Posts |
 Posted - 05/21/2008 : 06:59:15 [Permalink]
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42!
You knew that was coming, didn't you? 
Sorry, my maths are not good enough to prove it out.
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"What luck for rulers that men do not think." -- Adolf Hitler (1889 - 1945)
"If only we could impeach on the basis of criminal stupidity, 90% of the Rethuglicans and half of the Democrats would be thrown out of office." ~~ P.Z. Myres
"The default position of human nature is to punch the other guy in the face and take his stuff." ~~ Dude
Brother Boot Knife of Warm Humanitarianism,
and Crypto-Communist! 
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BigPapaSmurf
SFN Die Hard
3192 Posts |
Posted - 05/21/2008 : 07:06:25 [Permalink]
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| I have the answer, now what is the question? |
"...things I have neither seen nor experienced nor heard tell of from anybody else; things, what is more, that do not in fact exist and could not ever exist at all. So my readers must not believe a word I say." -Lucian on his book True History
"...They accept such things on faith alone, without any evidence. So if a fraudulent and cunning person who knows how to take advantage of a situation comes among them, he can make himself rich in a short time." -Lucian critical of early Christians c.166 AD From his book, De Morte Peregrini |
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Simon
SFN Regular
USA
1992 Posts |
Posted - 05/21/2008 : 07:35:33 [Permalink]
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| We must not have know both the answer and the question at the same time! |
Look again at that dot. That's here. That's home. That's us. On it everyone you love, everyone you know, everyone you ever heard of, every human being who ever was, lived out their lives. The aggregate of our joy and suffering, thousands of confident religions, ideologies, and economic doctrines, every hunter and forager, every hero and coward, every creator and destroyer of civilization, every king and peasant, every young couple in love, every mother and father, hopeful child, inventor and explorer, every teacher of morals, every corrupt politician, every "superstar," every "supreme leader," every saint and sinner in the history of our species lived there – on a mote of dust suspended in a sunbeam.
Carl Sagan - 1996 |
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Dave W.
Info Junkie
USA
26022 Posts |
Posted - 05/21/2008 : 07:45:21 [Permalink]
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You know, we do have [sup] and [sub]...(V1V2-(V1-V3)V2)/V1V2 But your equation is either wrong or overly complex. The probability of success is one minus the probability of failure on an individual roll to the power of the number of rolls, so:1-((V1-V3)/V1)V2 |
- Dave W. (Private Msg, EMail)
Evidently, I rock!
Why not question something for a change?
Visit Dave's Psoriasis Info, too. |
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BigPapaSmurf
SFN Die Hard
3192 Posts |
Posted - 05/21/2008 : 07:52:13 [Permalink]
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| Thanks Dave, It's been fifteen years since I cracked a math book. My equation works in my excel dice program, that's all I care about. |
"...things I have neither seen nor experienced nor heard tell of from anybody else; things, what is more, that do not in fact exist and could not ever exist at all. So my readers must not believe a word I say." -Lucian on his book True History
"...They accept such things on faith alone, without any evidence. So if a fraudulent and cunning person who knows how to take advantage of a situation comes among them, he can make himself rich in a short time." -Lucian critical of early Christians c.166 AD From his book, De Morte Peregrini |
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Vegeta
Skeptic Friend
United Kingdom
238 Posts |
Posted - 05/21/2008 : 08:04:39 [Permalink]
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I don't wanna sound anal, but that isn't an equation
p = {(V1^V2)-[(V1-V3)^V2]}/(V1^V2)
There you go. |
What are you looking at? Haven't you ever seen a pink shirt before?
"I was asked if I would do a similar sketch but focusing on the shortcomings of Islam rather than Christianity. I said, 'No, no I wouldn't. I may be an atheist but I'm not stupid.'" - Steward Lee |
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Dave W.
Info Junkie
USA
26022 Posts |
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Kil
Evil Skeptic
USA
13477 Posts |
Posted - 05/21/2008 : 08:33:59 [Permalink]
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What's an equation?
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Uncertainty may make you uncomfortable. Certainty makes you ridiculous.
Why not question something for a change?
Genetic Literacy Project |
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Boron10
Religion Moderator
USA
1266 Posts |
Posted - 05/21/2008 : 09:04:56 [Permalink]
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Originally posted by Dave W.
You know, we do have [sup] and [sub]...(V1V2-(V1-V3)V2)/V1V2 But your equation is either wrong or overly complex. The probability of success is one minus the probability of failure on an individual roll to the power of the number of rolls, so:1-((V1-V3)/V1)V2 |
Both are right. I am too lazy to write down the proof right now (it takes sum notation to generalize and that's way too much work), but BigPapaSmurf's formula is exactly right.
Dave W., your formula is identical. |
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Dave W.
Info Junkie
USA
26022 Posts |
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BigPapaSmurf
SFN Die Hard
3192 Posts |
Posted - 05/21/2008 : 09:55:52 [Permalink]
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p=x,
x=Dave's version.
Top that. |
"...things I have neither seen nor experienced nor heard tell of from anybody else; things, what is more, that do not in fact exist and could not ever exist at all. So my readers must not believe a word I say." -Lucian on his book True History
"...They accept such things on faith alone, without any evidence. So if a fraudulent and cunning person who knows how to take advantage of a situation comes among them, he can make himself rich in a short time." -Lucian critical of early Christians c.166 AD From his book, De Morte Peregrini |
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Ricky
SFN Die Hard
USA
4907 Posts |
Posted - 05/21/2008 : 12:26:47 [Permalink]
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That may have fewer v's, but it has more d's, a's, e', s's, r's, i's, o's, and n's.
Oh, and Filthy reminded me of something I found the other day. Tiff Images:
| Every TIFF begins with a 2-byte indicator of byte order: "II" for little endian and "MM" for big endian byte ordering. The next 2 bytes represent the number 42, selected "for its deep philosophical significance". |
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Why continue? Because we must. Because we have the call. Because it is nobler to fight for rationality without winning than to give up in the face of continued defeats. Because whatever true progress humanity makes is through the rationality of the occasional individual and because any one individual we may win for the cause may do more for humanity than a hundred thousand who hug their superstitions to their breast.
- Isaac Asimov |
| Edited by - Ricky on 05/21/2008 12:27:22 |
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Math anyone?
