Maths Gear: Non-transitive Grime Dice

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  • Опубліковано 21 лис 2024

КОМЕНТАРІ • 368

  • @kacperkopec8360
    @kacperkopec8360 8 років тому +283

    It's cool that all three of them have something named after them: the Mould effect, the Parker square and the Grime dice.

    • @SomeRandomFellow
      @SomeRandomFellow 8 років тому +9

      I dont follow mould as much as i should, whats the mould effect

    • @phlimy
      @phlimy 8 років тому +62

      I don't think Matt is very proud about the Parker Square haha

    • @AntonioBarba_TheKaneB
      @AntonioBarba_TheKaneB 8 років тому +7

      he pours random things out of beakers, pretty much

    • @newestupdates5921
      @newestupdates5921 7 років тому +1

      Kacper Kopeć Parker square lol

    • @dcs_0
      @dcs_0 7 років тому +10

      The Parker Square is Perfect!
      Oh wait, that was a Parker Square statement (almost right)

  • @stumbling
    @stumbling 8 років тому +160

    Mould and Grime... lovely.

    • @Maninawig
      @Maninawig 6 років тому +4

      Some Mould, some Grime and a big Matt in between....
      Though the Mould Effect is life changing

  • @cameodamaneo
    @cameodamaneo 8 років тому +189

    James Grimes and Matt Parker in the same place! Omg!

    • @OrangeC7
      @OrangeC7 7 років тому +2

      Cameron Pearce This is exactly what I was thinking

    • @dustt314
      @dustt314 4 роки тому +4

      @@OrangeC7 WHAT ABOUT STEVE?!?!?!

    • @BertGrink
      @BertGrink 4 роки тому +1

      They also both appeared in Tom Scott's video about Bar Billiards

    • @cameodamaneo
      @cameodamaneo 4 роки тому

      Looking back, I think my comment was sarcasm as they're often in the same place.

    • @cameodamaneo
      @cameodamaneo 4 роки тому

      @@dustt314 I didn't know Steve Mould at the time. I do now and I regret not mentioning him.

  • @FooBarBash
    @FooBarBash 8 років тому +31

    Dr. Grime is such a cutie. Just his mannerisms and enthusiasm for maths, in general :')

  • @Tsskyx
    @Tsskyx 8 років тому +33

    Wait, if there's a chain in the dice going one way, and a pentagram going the other way, then it's just like the Chinese elements philosophy. Fire burns wood, wood sucks water, water corrodes metal, metal cuts earth, and earth chokes fire. Then, fire melts metal, metal cuts through wood, wood digs through earth, earth dams water, and water extinguishes fire. If the dice could be colored red for fire, yellow for earth, black (or white) for metal, blue for water and green for wood, then that would be amazing!

    • @PromptedHawk
      @PromptedHawk 7 років тому

      How does metal burn wood exactly? It's been a while, but I'm interested.

    • @Tsskyx
      @Tsskyx 7 років тому

      oops, that was a mistake, I meant to say that metal cuts through wood

    • @PromptedHawk
      @PromptedHawk 7 років тому

      Damn that was quick.
      Now to the difference between the Chinese element philosophy and this. These dice 'win' chains are only on average, meaning that it's most likely to win, unlike the elements or Rock Paper Scissors Lizard Spock, where the win condition is certain.

    • @Tsskyx
      @Tsskyx 7 років тому

      It's a memorization technique, not a rule. It's just a way of remembering which die has a greater chance of winning, given the situation.

    • @isamiwind438
      @isamiwind438 4 роки тому

      there is. v=zWUrwhaqq_c (Non-transitive Dice by singingbanana)

  • @slendy9600
    @slendy9600 8 років тому +112

    these are like the dice equivalent of rock, paper, scissors, lizard, spock XD

    • @themeeman
      @themeeman 8 років тому +4

      +slendy9600
      But more fun :)

    • @phs125
      @phs125 7 років тому +1

      slendy9600 I would say I got that reference. but because its a comment relating to a nerdy show under a video by 3 really good nerds, I think pretty much everyone got the reference.

    • @omikronweapon
      @omikronweapon 6 років тому

      It might be semi-obscure but how is mentioning something concretely, considered a "reference" to 'be gotten'?

  • @jhonbus
    @jhonbus 11 років тому +15

    "We sell nerdy maths things". Instantly subscribed.

  • @MB256s
    @MB256s 3 роки тому +2

    Red>Blue>Green>Yellow>Fuchsia
    Blue>Fuchsia>Green>Red>Yellow
    There you have it. No need to introduce olive and magenta to keep things consistent. I've seen a lot of people suggesting either change but green on its own breaks the second chain.

  • @megadeathx
    @megadeathx 8 років тому +13

    Did anyone else freak out when guy put the yellow and "magenta" dice back out of order? I saw James eyeballing the dice pretty hard for a couple seconds, and he even picked up one pair in what I assume was an attempt to work out how he could set the order back correctly.

  • @SteveMould
    @SteveMould 12 років тому +15

    I was messing about this the site earlier and broke it for a short time! It's fixed now so if you refresh the page you should be OK. Let me know if it's not.

    • @kurumi394
      @kurumi394 4 роки тому +1

      It still works after 8 years lol

  • @CAVR
    @CAVR 8 років тому +48

    Also could have been the "G.R.I.M.E." colors:
    G= Green
    R= Red
    I = Indigo
    M = Magenta
    E = Ebony

    • @kikicat123
      @kikicat123 5 років тому +2

      Ingenious.

    • @DutchDread
      @DutchDread 4 роки тому +2

      Honestly would have preferred that.

    • @dafoex
      @dafoex 4 роки тому +4

      But then you have two fives. Maybe have Grey, not Green?

  • @chandnibhudia624
    @chandnibhudia624 11 років тому +3

    Hilarious end bit!

  • @OmegaRainbow
    @OmegaRainbow 11 років тому +6

    rofl, Grime's entrance is the best entrance of anyone in a video XD

  • @KjeldSchmidt
    @KjeldSchmidt 8 років тому +66

    MAGENTA? Olive, fine, but this, Sir, is not Magenta!

    • @andersonkurk3976
      @andersonkurk3976 7 років тому +2

      More like violet.

    • @iamsick5204
      @iamsick5204 7 років тому +2

      Kjeld Schmidt its just to remember the order

    • @Maninawig
      @Maninawig 6 років тому +4

      It's more Fuchsia, but I got to give them leaway... Google is calling majenta "purply red"

    • @Maninawig
      @Maninawig 6 років тому

      Isaac Harper Fuchsia is a better choice in names and also has 7 letters

  • @ThreeXcore
    @ThreeXcore 10 років тому +1

    Dr Grime is the best! Incredible charisma and awesome teaching skills. :)

    • @BertGrink
      @BertGrink 4 роки тому

      Not to mention his endearing enthusiasm.

  • @SteveMould
    @SteveMould 12 років тому +9

    Brilliant! Thanks for your order.

  • @jda0000
    @jda0000 12 років тому

    We were given a free set at a Royal Institution Christmas Lecture a couple of years ago by Microsoft Research. really good!

  • @Cayberni
    @Cayberni 7 років тому

    James, your comment "this came out of my brain and into my hands"...that's exactly how I feel every day as an engineer. Of course, I love the maths involved.

  • @kayleighlehrman9566
    @kayleighlehrman9566 Рік тому

    Love how the go increasingly formal in their attire going from left to right; shirt, argyle cardigan, shirt and overcoat

  • @MikeDeLue
    @MikeDeLue 8 років тому +39

    I want non-transitive fuzzy dice for my rear-view mirror. Make this happen guys.

    • @Maninawig
      @Maninawig 6 років тому

      Michael DeLue totally possible, however, three fuzzy dice, even 5 will be too much if an obstruction for the rear view

  • @Maninawig
    @Maninawig 6 років тому +1

    James, there are two problems with what you said...
    1. True Magenta is a sort of a hot pink colour, and not a purple
    2. Fuchsia is another colour that has 7 letters. And by google definition shares the same colour code as Magenta.

  • @AgglomeratiProduzioni
    @AgglomeratiProduzioni 7 років тому

    _Wait! Why wasn't I already subscribed to mathsgear?!? This is so outrageous!_

  • @TheVJackV
    @TheVJackV 12 років тому +1

    It works now! Thank you! Can't wait for the dice to arrive :D

  • @TheVJackV
    @TheVJackV 12 років тому

    My non transitive dice arrived today, they are awesome!

  • @unseldomdrastic
    @unseldomdrastic 11 років тому +1

    Great ending!

  • @Centigonos
    @Centigonos 11 років тому

    There is no number large enough to express the amount of awesomeness of these dice (and the other stuff on mathsgear)!

    • @paradoxica424
      @paradoxica424 10 років тому

      Infinity

    • @KasabianFan44
      @KasabianFan44 10 років тому +1

      Jack Lam Infinity is too small. And it's not even a number.

    • @paradoxica424
      @paradoxica424 10 років тому

      The power set of all the uncountably infinite aleph sets.

    • @KasabianFan44
      @KasabianFan44 10 років тому +1

      Jack Lam Still not enough :P

    • @paradoxica424
      @paradoxica424 10 років тому

      The meta-power set of all the uncountably infinite beth sets.

  • @paulcoy9060
    @paulcoy9060 6 років тому +5

    "That's a pentagram"
    "Well, that explains a lot"
    Satan loves a good game of dice apparently

  • @ajreukgjdi94
    @ajreukgjdi94 9 років тому +2

    at 4:15 he says that Olive will on average beat Red whether you use 1 or 2 dice, but by my math, Olive has a 69.444% chance of beating Red with 1 die while Red has approximately a 51.775% chance of beating Olive with 2 dice.

    • @reillywalker195
      @reillywalker195 Рік тому +1

      You're correct. That said, there's a simple fix to the problem: to treat the double-zero roll with two Olive dice as a total of 100 much like in a tabletop RPG rather than as a total of 0. The best part about that fix is it doesn't disrupt any other relationships between all the dice in the set.

  • @mattsadventureswithart5764
    @mattsadventureswithart5764 3 роки тому

    I love the bit at the end

  • @SteveMould
    @SteveMould 11 років тому +4

    Just changed the links. Should stay up now :)

  • @jonathanwalther
    @jonathanwalther 7 років тому +4

    I watched this after some Monty Python stuff. This fit perfectly well. The chair performance was just hilarious! Thanks guys. And nice to see you all in one vid. Keep on rolin'.

  • @shellbournian
    @shellbournian 9 років тому +9

    I'd love to see you guys reach out to Scam School to do a collaboration with these dice. Their channel is all about (often math related) bar games. They're nerds, you're nerds... it just seems right.

    • @Sandalphonium
      @Sandalphonium 8 років тому +4

      +shellbournian They're boring nerds.

  • @monsvague4825
    @monsvague4825 8 років тому +2

    That reminds me such much of "Fun with Flags".

  • @timgehrsitz3267
    @timgehrsitz3267 4 роки тому

    The math behind this is wild, I think Dr. Grime saying "twoooo chains" was the best part of this video

  • @jekyllgaming99
    @jekyllgaming99 8 років тому +7

    my right ear enjoyed this o_o

  • @salhal73
    @salhal73 12 років тому

    I love the numberphile groups videos like this one!

  • @DanDart
    @DanDart 8 років тому +3

    "It didn't used to be a thing."
    Yes Matt. That's how the universe works. Things become things after a period of said things not being things.

    • @ffggddss
      @ffggddss 8 років тому

      And eventually, things become not-a-things.

  • @PureInsanity
    @PureInsanity 12 років тому

    Numberphile!!
    I am buying these right after I calculate the probabilities myself

  • @MrPatrickHenryCheryl
    @MrPatrickHenryCheryl 7 років тому +5

    "One dice (plural)"
    "Two die (singular)"
    Wut

  • @themage1028
    @themage1028 8 років тому

    sold. just placed my order. these are awesome! I'm a dice collector (yes that's a thing), and these are just the cool things I like.

  • @8523wsxc
    @8523wsxc 10 років тому

    That loud noise you just heard was my brain that exploded.

  • @Julio974
    @Julio974 5 років тому

    I’ve never seen a better example of the expression « mind blow »

  • @BatteredToast
    @BatteredToast 7 років тому

    GOD DAMN GRIME BACK AT IT AGAIN

  • @bmhyakiri
    @bmhyakiri 12 років тому

    Wow, thank you for explaining. I have to admit I was only half paying attention to the video.

  • @sockmaster2718
    @sockmaster2718 12 років тому

    Can you PLEASE do a video explaining the math behind these dice? I can't wrap my head around it.

  • @DutchDread
    @DutchDread 4 роки тому +1

    I am so strangely excited to own something James invented.

  • @terranceparsons5185
    @terranceparsons5185 3 роки тому

    Ok, I love these kinds of video, but this one is a wow from me.

  • @cbbuntz
    @cbbuntz 10 років тому +4

    Dice is the plural of die, James. Two dice.

  • @607
    @607 8 років тому +5

    Cool!
    And I love the ending. :P

  • @onjit
    @onjit 12 років тому

    Blue Magenta Olive Red Yellow. It's for the second chain mentioned here: 3:48

  • @ThePotaToh
    @ThePotaToh 6 років тому +2

    Crimson & Scarlet (and every other color except Magenta with 7 letters in their name): **looks at Magenta** *pfffft*

    • @ThePotaToh
      @ThePotaToh 6 років тому

      Emerald, just another off the top of my head. Fuchsia. Saffron? Chiffon? 🤔

  • @alvisng1515
    @alvisng1515 11 років тому +13

    I keep thinking rock paper scissors lizard spock

  • @blazerider6
    @blazerider6 12 років тому

    There are two different orders, that's the point...
    Red, Blue, Olive, Yellow, Magenta, is the first because it's by letter length
    Blue, Magenta, Olive, Red, Yellow, is the second because it's alphabetical
    The first draws a circle and the second draws a pentagram when arranged the way they showed.

  • @Razzfazz87
    @Razzfazz87 11 років тому

    I love James Grime

  • @Jivvi
    @Jivvi 12 років тому

    1:34 Classic singingbanana smile!

  • @Kuulpb
    @Kuulpb 8 років тому +22

    "Ony colour with seven letters" a quick google shows : Apricot
    •Crimson
    •Emerald
    •Fuchsia
    •Magenta
    •Mustard
    •Scarlet

    • @NathanTAK
      @NathanTAK 8 років тому +5

      None of those are TRUE ~Scotsmen~ colors except Magenta.

    • @exod4
      @exod4 8 років тому +2

      Only colour with seven letters................. of the colours mentioned this far

    • @Kuulpb
      @Kuulpb 8 років тому +1

      2 quick questions - If he said Green ( 5 letters), is actually Olive ( 5 letters) for.. No purpose I guess. And Also Could it because he said Magenta and forgot to say it's the only Purple with 7 letters? which probably isn't the only purple, but he could have changed yellow for mustard, he could have had Yellow as lemon and green and emerald. so many Possibilities xD

    • @linazso
      @linazso 8 років тому +16

      +Steelcrest
      I think olive is only needed for the alphabetical order (just a guess)

    • @NYsummertimeCHI
      @NYsummertimeCHI 6 років тому

      Lilla Kiss Fuchsia then green would have worked just as well

  • @gemmaarrowsmith
    @gemmaarrowsmith 12 років тому

    Steve Mould, Matt Parker *AND* Numberphile's James Grime? Come on guys, there's too much awesome in this video. X

  • @JennWanderer
    @JennWanderer 11 років тому

    There's an alphabetical aspect to the play as well. Starts at 4:00

  • @alecsjoholm3970
    @alecsjoholm3970 4 роки тому +1

    That die is not magenta; magenta is much lighter than that. You could call it fuchsia, perhaps, while maintaining the word length and position in alphabetical order---and then you could call the olive die green!

  • @harryaholic
    @harryaholic 10 років тому +1

    I love it! I really want a set....but, that is not magenta, it is purple or violet etc. magenta is in the pink range.

    • @SteveMould
      @SteveMould 10 років тому +1

      It seems there is no strict definition of these things. From wikipedia "A purple hue in terms of color theory, magenta is evoked by light having less power in green wavelengths than in blue/violet and red wavelengths"

    • @harryaholic
      @harryaholic 10 років тому

      Yes I agree with statement. I do think an answer might lie closer to the hex colour coding scale for RGB gradients. As you said, purple has less green but a fairly even red/blue distribution. Whereas when you look at what most would consider magenta, the hex code leans more to the red with less blue and a little green.
      Interestingly though the die actually referred to as purple on the mathsgear.uk.org website So perhaps it was a slip of the tongue. :-)

    • @SteveMould
      @SteveMould 10 років тому

      Jody Smart Yeah, I think you're right. We actually call it magena for a reason (which I'll explain). So although there might be a more appropriate name, we need to stick with magenta! The reason we call it magenta is because there are two possible winning cycles and to aid remembering the order of the cycles (for when you're trying to win bets with your friends) we've named them so that one cycle goes in alphabetical colour order and the other goes in colour word length. That's why we call green olive!

    • @harryaholic
      @harryaholic 10 років тому

      Steve Mould That makes sense and I did notice the alphabetical and numerical ordering in the video/ I was going to suggest Thistle instead of purple to fit the order but it only matches the word length and would require green to be changed which is not worth it. However, this was an interesting debate, thank you. :)

    • @SteveMould
      @SteveMould 10 років тому +1

      Jody Smart Colour is a really interesting topic. Thanks Jody :)

  • @jek__
    @jek__ 2 роки тому

    2:18 Lies! Sangria, regalia, fuchsia, heather, thistle, hopbush. And those are just a few examples of colors with seven letters that are also purples, the first two of which are probably better approximations for the color of that die than magenta is, as magenta is usually closer to pink
    also green has five letters just like olive does lol
    These are so cool. I want to make a game with them. The first thing that comes to mind is you could have players choose their dice and then choose if they want to roll one or two, and if you roll two your score is divided by two, maybe you can take turns choosing multiple sets of dice and then choose which ones to roll at a given time. There are a lot of complex interactions between which of these is more likely to win if you allow enough flexibility, that seems fun to build around
    I would buy them but theyre sold out so I guess I'll have to make my own :P
    I liked the ending

  • @HudsonAnsley
    @HudsonAnsley 12 років тому

    They should also sell a set of fuzzy transitive dice to hang from your rear view mirror (maybe not a UK thing) - I may just make some myself!

  • @rosebuster
    @rosebuster 7 років тому

    This is a classic Parker Square, James! The whole concept of your dice looked beautiful to me until I realised there's one exception in it. You said the second chain doesn't flip, but that's not completely true. The odds between the red and the olive dice do flip! As a result if you play 2 opponents at once and they pick red and blue, you will lose more than 50% of the times to either of them, no matter which colour and which version of the game you choose, because there's no strategy beating them both at once. Even the "Read mode" article linked in the description confirms this exception, but it tries to say "eh, close enough" and suggests we assume the probability in this case is almost equal. But that's just trying to stretch the truth. The facts are your dice are a classic Parker Square. But hey, at least you tried! :D

  • @allank8497
    @allank8497 3 місяці тому

    The way I do this when I’m playing against someone where I want the dice that’s supposed to win, win pretty much every time, but don’t want it to take that long… I play where each player rolls their di, highest number gets a point, first player to lead the other by 5 points. That turns a 2/3 to 1/3 chance of winning each roll into something like a 98% chance of winning the series

  • @noblessus
    @noblessus 11 років тому +1

    lol loved the awkward ending.

  • @apostleguy
    @apostleguy 7 років тому

    “That makes like a pentagram instead of a circle.” “That explains a lot, actually.”

  • @SteveMould
    @SteveMould 11 років тому +1

    I can't post links but if you go to mathsgear and go to any of the grime dice products there should now be a link to "James Grime's article". If you don't see that link, you're looking at an old version of the site. Try refreshing the page if you haven't already. Let me know if it doesn't work.

  • @juustgowithit
    @juustgowithit 7 років тому

    I laughed too much on the chair intro. Even more on the outro 😂😍

  • @Psycho345
    @Psycho345 10 років тому +2

    Blellow also have 7 letters.

  • @Hypercube1729
    @Hypercube1729 10 років тому

    They are such übernerds!! I love them!!

  • @GyanPratapSingh
    @GyanPratapSingh 12 років тому

    we love james :D

  • @MacbethAUT
    @MacbethAUT 12 років тому

    Awesome my set just arrived yesterday! Had quite some fun with it already at work. Now something bothers me.
    Using 3 dice: Red > Blue > Olive > Red
    But what if three players should play, who would win?
    Red would be better than Blue, Blue better than Olive, but Olive better than Red. :-/

  • @cosmicpaudel9430
    @cosmicpaudel9430 12 років тому +1

    You can remember the order as MR BOY (Magenta Red Blue Olive Yellow)

  • @shayknox1023
    @shayknox1023 Рік тому

    Came here after reading about these dice in Humble as Pie!!

  • @gemmaarrowsmith
    @gemmaarrowsmith 12 років тому

    You *must* ask him the next time you see him, Steve. We need to get this sorted out.

  • @CarpeMetus
    @CarpeMetus 12 років тому

    I wonder about the math of choosing off color pairs. That would be interesting.

  • @casey6264
    @casey6264 6 років тому

    "Infinity War is the most ambitious crossover event in history."

  • @djmintyfreshful
    @djmintyfreshful 3 роки тому

    The way james slid in 🤣🤣🤣

  • @andersonkurk3976
    @andersonkurk3976 7 років тому +5

    Celadon has 7 letters.

  • @djtwo2
    @djtwo2 2 роки тому

    The things lacking here are definitions of how you decide who wins. For a single die, is it the highest or lowest score that wins? For two dice, is it based on the best of the individual faces, treated separately, or on the sum of the two faces?

  • @bimbin0
    @bimbin0 11 років тому

    wonderfull, works like a charm. thanks!

  • @eduardoxenofonte4004
    @eduardoxenofonte4004 5 років тому

    Got that sold, man

  • @lunafoxfire
    @lunafoxfire 12 років тому

    Oh, THAT James Grime.

  • @CarpeMetus
    @CarpeMetus 12 років тому

    You should put a set of these dice in your emergency time travel Go Bag. If you get sucked back in time you could buy an entire town in a few short days through pub bets.

  • @chologonzalo999
    @chologonzalo999 11 років тому

    Well, why you didn't play? I think that would be the best way to demonstrate their quality.

  • @TheMajorpickle01
    @TheMajorpickle01 11 років тому

    They have the evidence on the site and you get it on paper with the dice when you buy them

  • @rafbambam
    @rafbambam 9 років тому

    so if you pick one color, there are 2 colors that beat (on average) that color. If you have 2 people knowing that and team up (without telling the 3th) they can drink a whole lot off free drinks: on everage one of the 2 "winning" colors will win 50%+; what are the % for one of the 2 colors winning?

  • @sockmaster2718
    @sockmaster2718 10 років тому +36

    How in the living fuck is that even possible?

  • @newestupdates5921
    @newestupdates5921 7 років тому

    James Grime: Grime Dice
    Steve Mould: Mould Effect
    Matt Parker: Parker Square

  • @tinfoil_powers
    @tinfoil_powers 11 років тому

    That could be done with any amount of n-sided, proper numbered dice, I believe. Unless I misunderstand your question.

  • @snorri0411
    @snorri0411 11 років тому

    mind=blown... crazy but amazing stuff!

  • @JefferyMewtamer
    @JefferyMewtamer 8 місяців тому

    5 non-transitive dice having both a pentagonal and pentagrammic order of beating each other is old news.
    That doubling reverses the pentagonal path blew my mind... that it doesn't reverse the pentagrammic path blew my mind again.
    I wonder how tripling affects the probabilities.
    Though the question is, are the advantages fair? e.g. Does Red beat Blue by the same probability that blue beats olive? and do the probabilities remain the same along each cycle?

  • @JimGiant
    @JimGiant 9 років тому +6

    Scarlet has 7 letters?

  • @L4Vo5
    @L4Vo5 8 років тому

    This is awesome!!

  • @schwarzarne
    @schwarzarne 7 років тому +8

    Seriously? You don't explain the maths behind them?

    • @typo691
      @typo691 6 років тому +1

      Check the second link in the description.

  • @ArthurSeijiNishikawa
    @ArthurSeijiNishikawa 8 років тому

    The way one dice beats another reminds me the rules of rock-paper-scissors-lizard-Spock!

  • @red40222
    @red40222 7 років тому

    Never thought I'd see his face outside of numberphile

  • @chris12dec
    @chris12dec 12 років тому

    4:20 Mould: "They're in a pentagram shape." Parker: "That explains a lot actually!" Seeing Maths lecture circuit top billings Grime and Parker bouncing off each other like this is basically up there with Jay-Z and Kanye or Hardy and Ramanujan.

  • @stefanbontekoe9123
    @stefanbontekoe9123 10 років тому

    This is so cool! And the video was really funny

  • @199NickYT
    @199NickYT 7 років тому

    Wait, what happens when you roll all three dice repeatedly and observe the totals?