Mur
Mur
122 / 7
23rd Dec 2016
24th Dec 2016
I suck at math, but according to my maths, it has a chance of 1/2 199 023 255 552, or 1/2^41 of sparking the final output. Includes pretty histogram and histogram generator. All credit for the gaussian distributor goes to samm9. Histogram plotter by me.
math icantbelieveinit gauss spark power electricity electronic electric ididntunderstood gaussian

Comments

  • Self_Destruct
    Self_Destruct
    23rd Dec 2016
    Just use PGRV and you're done.
  • TheArchitect
    TheArchitect
    23rd Dec 2016
    Mur's made a post! Wowza!
  • Mur
    Mur
    23rd Dec 2016
    But it is also (not equally, of course) probable for it to be sparked in the fist time or never be sparked. Well, I don't know why I'm even bothering about the scietific method in a game, I should be studying art stuff right now, not doing maths and discussing about gaussian distribution...
  • Mur
    Mur
    23rd Dec 2016
    Another problem I noted in the discussions about this, is people saying "it WILL take n time for the light to turn on", which is completely unscientific. Of course, we can calculate a mean time in which it is possible for a desired output to be sparked, using a formula involving spark duration (8 frames), FPS #, and the weight of the desired output. A scientific way to put it would be "n time is a probable interval for the desired output to be sparked".
  • Mur
    Mur
    23rd Dec 2016
    @BlockBuilder97: Yes, you are correct! SPRK generates pressure, so te outputs are possibly biased because of this, so disabling air simulation will contour this problem. But I was ignoring this when I made this save (I didn't even think abou it, lol) and I considered that each output from a single randomizer is as likely as the other to be sparked.
  • BlockBuilder97
    BlockBuilder97
    23rd Dec 2016
    I was trying to convey that there is no point getting salty over a math save...
  • BlockBuilder97
    BlockBuilder97
    23rd Dec 2016
    Why is this such a big deal, it seems like everybody is arguing about the answer and the probability of having some spark reach the bottom of a couple pyramid- this is grade "7" math. Also an addition to my point, I doubt they each are 1/8 or 1/2 chance, it all depends on negative and positive pressure and other factors that the powder toy engine follows. Or you could all be calculating theoretically and I'm just a dumbo. I've now coverd my basis I will end my rambling.
  • TheNik
    TheNik
    23rd Dec 2016
    My take at this: ID:2083038
  • c-miner-2213
    c-miner-2213
    23rd Dec 2016
    im just gonna pretend that i understand this.. +1
  • Mur
    Mur
    23rd Dec 2016
    @muzau: you are ignoring that this is gaussian distribution, and each output has a different weight, you say as if every output has a chance of 1/48, which is not true, as proven by the histogram plotter. I also made a simplified version (on the right) which demonstrates that the chance of an output being sparked halves for every new randomizer. It is obvious that the spark always goes to the bottom, but each output has a different weight.