10:30 "There's this region between 3 and 5 known as 4" The way you said it is just hilarious to me.
@ibrahimali31927 ай бұрын
also 11:09
@SixtyStone7 ай бұрын
theres this thing know as youtube
@tylerrichter67606 ай бұрын
I thought the region between 3 and 5 was a restraining order
@Arnikaaa2 ай бұрын
“There’s this nice and convenient region between 1 and 3 known as 2”
@matheweon11 ай бұрын
the problem i have with this set of intransitive dice is that purple beats green 5/9 times, so against a random die, purple is the best and green is the worst
@carykh11 ай бұрын
Oh yeah, that is true that the purple die beats the green one 5/9 times! I'm not sure if there's a clean way to make all "opposite dice" come out exactly equal unless you give them a lot more sides. Wait! I just got a *weird* solution. If all the dice are D12s (dodecahedrons), you could have: Red: 12 threes Blue: 6 fives, 6 ones Green: 8 fours, 4 zeros (these three are essentially the same) Purple: 9 twos, 3 sixes. (purple now has proportionally more twos.) In this instance, purple and green are exactly tied against each other. (In order for green to win, green must roll a four (8/12) and purple must roll a two (9/12), which multiply to 1/2). Red and blue are also tied. However, the odds of blue-purple and purple-red are changed - so you win some, you lose some?
@mjohnson280711 ай бұрын
@@carykh Wait @8:25 it shows purple vs green being 2/3. But mathematically it isn't that? Is that a issue with arranging the order of the numbers in the chart?
@dsgowo11 ай бұрын
@@carykh I think I've just proved that a perfect set of 4 non-transitive dice with the numbers we have (0-4, 1-5, 2-6, 3-3) isn't possible with any number of faces, but I'm going to double check.
@dsgowo11 ай бұрын
@@carykh Yup, here's the proof: The probability of green beating red is just the probability of green rolling a 4, which we'll call p. The probability of red beating purple is just the probability of purple rolling a 2, which must also be p if the set is perfect. I'll abbreviate these as P(g4) = p and P(p2) = p. Then, P(g0) and P(p6) must be 1-p. The probability of purple beating green is P(p6) + P(p2)*P(g0), and we want this to equal 1/2. Plugging in, we get the equation: 1-p + p(1-p) = 1/2, which becomes 1 - p^2 = 1/2. This means that p must be 1/sqrt2. But this is a problem because p is now irrational, so no die with finite sides can have probability p of rolling something. Therefore, no perfect set of 4 dice with these numbers is possible, regardless of the number of faces.
@tk836411 ай бұрын
@@mjohnson2807 you need to rotate one of them 90 degrees to show the range of match-ups.
@pieguy569211 ай бұрын
Finally, a mathematical way to choose the best character in Mario party!
@razkrispies11 ай бұрын
oh my gosh yes
@TunaBear6411 ай бұрын
Is not about who moves further, but where you move. Shy Guy will nearly always roll a 4, that's very handy.
@segadoeswhatnintendont11 ай бұрын
It's either shy guy for consistency or Bowser for average roll
@adamantii11 ай бұрын
I'm glad someone else thought about this
@CMan18511 ай бұрын
@@segadoeswhatnintendontand wario for schmoovement
@Greeny10911 ай бұрын
Its actually interesting how much math you can put into statistically getting a win with die that aren't 1-6
@galacticfish638011 ай бұрын
Since it wasn't mentioned in the video, I looked at it myself: The purple die has an edge over the green die winning 5/9 (20/36) of the time
@carykh11 ай бұрын
That's true! Purple does win against green 5/9 of the time. (My visualization doesn't portray that though because green and purple are both on the X-axis, oh no)
@technospyform157811 ай бұрын
@@carykh time to bring out four then, cause that means it's 4D time... shit pun
@wrongwayscout11 ай бұрын
@@carykh it does portray it, just that they cross over multiple times instead of just once.
@Johnny-tw5pr11 ай бұрын
@@carykhnothing stops you from rotating the green or purple plane
@Medlek11 ай бұрын
@@technospyform1578Was super funny to me actually, dw, have your like
@m3morizes11 ай бұрын
6:20 The second you explained this, I thought about gerrymandering. Creating matchups where one side is having its "potential" deliberately wasted to skew the results of what would have otherwise been an overall more proportional result.
@ncedwards123411 ай бұрын
Non-transitive dice and voting is indeed the math behind gerrymandering. It also explains why swing states are emphasized so much in presidential elections, because a marginal win is still the same as a landslide victory in 48 states + DC (because electoral college). So if a politician is limited in the people they can sway with their campaign, they want to target people who are 1) On the fence (could vote either way, but you get one vote rather than 60% vote for one candidate and 40% for another). 2) In a swing state that can change the electoral college vote (because >50% = 100%). It's like an avalanche where you could be the changed vote that changes your state, therefore the president, BUT it's planned out so that you're less likely to be in this situation unless prior politicians wanted people in your area to have this power. Otherwise it goes like you said, you're moved to an area where your vote cannot make a difference. Or you criminally charge people for bogus crimes like drug possession to disenfranchise groups like the poor and minorities. Through this the process of politicians weighting votes unevenly, they are indirectly biasing votes for future politicians (such as themselves and their cronies). I sure hope they don't attempt to remain in power against the desire of the average voter's desire. 🤔 Then we can get into propaganda because some of us are swayed to another side with less effort, so we will be targeted more than the stubborn ones who need only the occasional reminder to keep voting the way their parents taught them to (because their grandparents taught their parents how to think). New customers cost more than maintaining old ones, so allocate resources carefully in a zero-sum game. And remember, lies are cheaper than truths; and winner takes all because the past winners said that's how it should be.
@cogwheel4211 ай бұрын
Yeah 1 minute in and I went searching the comments to make sure gerrymandering came up :)
@matthiaskontsevitch455311 ай бұрын
To make this non-transitive property more widely known, we should come up with a simple game (maybe less dice, and things instead of dice), like a rock cuts through paper, scissors chisel a rock, and paper envelops scissors?
@mathguy3711 ай бұрын
Yeah it’d be very interesting to decide things
@Egglet-st3ox11 ай бұрын
Maybe "Rock, Paper, Scissors!" could be the name
@Egglet-st3ox11 ай бұрын
Or maybe "Grey ball of stone known as a boulder which can get defeated by a sheet of paper, that same sheet of paper that was once a tree and can be halfed by the item known as scissors as well as the scissors, which can be destroyed by the grey ball of stone."
@matthiaskontsevitch455311 ай бұрын
@@Egglet-st3ox ex-tree vs. big rock the size of small rock vs. Ctrl+C is a strong contender for a decision-making method. It's up against the infamous "coin toss". Which one will be the winner? Should we decide usiing the first one or the second one?
@agreenkirby20111 ай бұрын
This honestly reminds me of a group of five Earthbound bosses where each believes they're the third strongest because they all won against two of their brothers and lost against the other two. Not sure how exactly the explainations match up, but I've got a feeling
@greencreeper914411 ай бұрын
Second Strongest Mole!!! I find the actual blood on their fingers scary
@pengusplayz57566 ай бұрын
3rd strongest mole moment
@skld-xm4 ай бұрын
was not expecting EarthBound in this comment section.
@javieralejandrotrianapaz63439 күн бұрын
Aight, if there's 5 moles, and all of them win against 2 of their brothers, then the matchups could be identical to those of RPSLS
@adamboyd113211 ай бұрын
Somewhat surprised that this video didn't mention Rock-Paper-Scissors, or the many Strategy games where there are units that can be good counters to another, but weak to a second unit. My favorite version is Archers beat Infantry beat Cavalry beat Archers.
Genji beats bastion, winston beats genji, bastion beats winston. At least that’s the way it was like 4 years ago lol
@NonJohns11 ай бұрын
funny how he brought up boxing too because in smash melee, (as mentioned in the melee documentary) players would beat other players and then it was assumed that it was linear when it was actually a triangle like rps due to different styles of combat
@MeesterTweester11 ай бұрын
Talking about "non-transative" reminds me of ranking players or characters in games like Super Smash Bros. Just because A beats B and B beats C, does not necessarily mean A will beat C or is better than C.
@carykh11 ай бұрын
That's a really good point, Smash characters could easily be non-transitive! Like, if three characters have three different types of attacks, and they have shields against other types of attacks, it could be like a Rock-Paper-Scissors sort of thing
@TunaBear6411 ай бұрын
Exactly, Pokémon is also a clear example of non-transitive matchups, the starters being the most obvious example.
@rokkraljkolesa931711 ай бұрын
@@TunaBear64 doesn't Porygon have an extremely niche use in gen 1 competitive due to being a counter to a specific pokemon?
@Ciurk11 ай бұрын
a lot of games are very rock paper scissors i notice
@Roverdrive_X10 ай бұрын
Smash Ultimate even has a system like this for Spirits, where they come in three different types: Attack, Shield, and Grab. Shield beats Attack (because you can block attacks), Grab beats Shield (because grabs pass through shields), and Attack beats Grab (because attacks are longer ranged than grabs I suppose).
@ghoestrhoest37611 ай бұрын
When I saw these dice, I immediately thought about Super Mario Party on the switch, because every single character in that game has their own unique dice with different values along side the standard di, for example bowser as 0,2,4,7,8,9 and wario has 0,0,0,6,6,7. its really cool to see this and think about the game with this in mind
@r3dp911 ай бұрын
Very good morale at the end there. It's REALLY easy to fall into the trap of assuming that everything is transitive. We treat most things in life as transitive, because it's easier to think about things that way. IQ scores, test scores, income, net worth, and subscriber counts are treated as transitive by society. But when you look a little deeper, we find that there are many different kinds of intelligence that excel in different ways, earning money is a different skill than spending money efficiently, and the size of a fanbase is usually inversely proportional to the social experience it offers.
@Fourtle11 ай бұрын
The beginning of the video is so random and funny I love that math can sometimes be so complicated and confusing yet always so fun to research around it
@bgdy-pw8xj11 ай бұрын
True I just watched it
@hy786411 ай бұрын
carykh short for cary krashes hard
@Squares28 ай бұрын
@@hy7864big brain
@Gamer23car11 ай бұрын
idk why but i just like numbers with percentages and analytics like this so these videos are always fun :D
@razkrispies11 ай бұрын
yeah, cary is part of the reason i can be in math class without dying so thanks cary 👍
@The-Mikester11 ай бұрын
the dice that wins always has at least 6 sides, 12 corners, and will be flat edit: i have found out cubes has 8 corners, not 12
@DS-tv2fi11 ай бұрын
Bold prediction. Let’s see if you’re correct.
@The-Mikester11 ай бұрын
@@DS-tv2fi everything in the world is made up of at least some of em 🤓
@blue-cuboid11 ай бұрын
12 edges, 8 corners
@The-Mikester11 ай бұрын
@@blue-cuboid circle or triangle
@MichaelDarrow-tr1mn11 ай бұрын
@nelsonojserkis219 dice is also singular
@elijahbedinger122211 ай бұрын
It was really cool to see a 3d visual of this non transitive problem! It really helps give an intuitive understanding of why this paradox actually makes sense!
@stephfassel696711 ай бұрын
0:31 ”Obviously yellow Cary because that motherf###er rigged this game again for me” That got me dying of laughter
@ChiEsp61910 ай бұрын
MATHEMATICALLY SPEAKING!!! Mathematically speaking okay I fcking died of laugh
@ManiTheObbyist13 күн бұрын
I feel for pink cary
@rowan40411 ай бұрын
Somehow, the fact that each die’s score adds up to 100% across the two graphs it’s present in reminded me of how Yellow Cary and Orange Cary are each other’s fathers.
@justjames411 ай бұрын
I hadn't thought about dice in this way. It's cool how math can be used like that.
@zache00111 ай бұрын
yo cary kumon helper this video is fascinating! i didn’t know that colorful dices and plots could be so interesting! i learned quite a bit from this video
@MO1M_Official11 ай бұрын
@SonicDavid3 Same
@ballerwithout_theball11 ай бұрын
“obviously yellow Cary because that mother-🤬 rigged this game agaisnt me 😢” “MATHEMATICALLY SPEAKING MATHEMATICALLY SPEAKING OK-“
@aaronconner14407 ай бұрын
0:30 Who’s more likely to get the higher score? Pink Cary: *OBVIOUSLY YELLOW CARY, BECAUSE THAT MOTHER [bleep] ER RIGGED THIS GAME AGAINST ME*
@South-A-Cola6211 ай бұрын
Cary is the only person somehow able to get me anywhere near interested in math or statistics. Interesting how all this can stem from a 6-sided die!
@nicknotebr11 ай бұрын
Man, cary's math videos are so fun!
@skydog0_03811 ай бұрын
I agree with this comment.
@themixedmaster11 ай бұрын
Great visualization. This week has been great for dice-related content. Numberphile also just released a new dice video.
@zacharyandjulianbrownell617124 күн бұрын
3:01 I was about to fall asleep but that scream caught me off guard and woke me up
@jelenasusic291418 сағат бұрын
Me too :(((
@chaosround11 ай бұрын
this is a great proof of why different tools/methods are better for different problems- things are often not one dimensional in complexity
@darrenwu350711 ай бұрын
0:01 "CARY Krashes Hard here!"
@alphabetlorefan4363 ай бұрын
Kikoriki fans: KRASH!!!???
@darrenwu35073 ай бұрын
@@alphabetlorefan436 Krash with a K, not a C.
@darrenwu35073 ай бұрын
@@alphabetlorefan436 Another KH Joke!
@alphabetlorefan4363 ай бұрын
Hey @@darrenwu3507, i already know it's a kh joke, i just thought about it and posted it.
@CraigTabb-vc8tl2 ай бұрын
@@darrenwu3507It was a k all along
@cheph21811 ай бұрын
we need to see pink cary more
@owinz111 ай бұрын
They're the third twin
@RealRaizo11 ай бұрын
"Luckily for us, there's this region between 3 and 5 known as 4." Thank you Cary, we wouldn't have known otherwise.
@er479511 ай бұрын
i love this video!! in highschool i had to write a math essay on a topic of my choice and i originally chose this topic. i used colored matrices as well, but did not think to use 3 dimensions which was genius! instead i created a new 36-sided "die" by subtracting one result from the other, but this is about where i changed topics to just "addition of discrete random variables" because so little is known about these. thanks so much for making an awesome video about this! if i had one suggestion it would be to render the dice results as thick rectangular boxes that do not connect so that you could see the stacking without rotating. or add some transparency
@TheSheep111 ай бұрын
This is like rock paper scissors: Person A chooses rock Person B chooses paper Person C chooses scissors “Scissors beat paper” (pin in bfdi 1a), paper beats rock and rock beats scissors
@ColinTimmins11 ай бұрын
I really liked how visual and well thought your video was. Fantastic work.
@tailseatingnails11 ай бұрын
his videos are more educational than what i lear at school
@mozzapple10 күн бұрын
Funnily enough, Kakegurui uses this dice trick in one of their episodes
@superspongis11 ай бұрын
the worst part is that you called mario a brute
@Karmanthegamer9 ай бұрын
I love how when you represented red you did but you’re the bloon instead of btd6
@EPMTUNES11 ай бұрын
Nice video. Glad to see such a classic internet math paradox animated like this for the first time
@yeshejksistn11 ай бұрын
I am watching this at 12 am and my brain cannot understand but I love it
@javokhir617411 ай бұрын
Lovely video! I think intransitive die got brought up on a 109 pset. Have been interested by them ever since. Thank you for this!!!
@Gamingdogmochi23411 ай бұрын
This honestly reminds me of the dice from super mario party, where the dice are all different. I'll bet that the mario party dice are gonna be way more complicated in dice rolls than these 4 dice. Edit: NEW RECORD OF LIKES: 38. Edit 2: 41 likes now. I guess this will be hard to beat. (I guess people like super mario party)
@spektr462511 ай бұрын
I thought the exact same thing. When I played that game and got multiple dice I always calculated the expected value of all the dice in order to determine the "best" one. I think boo's die was the best, if you ignore the coin penalty for rolling a 0 lol
@natnew3211 ай бұрын
@@spektr4625 It was Bowser's, actually. His average roll was 4.67; Boo and Wario were 4.00, the Normal Dice + Mario/Luigi/Waluigi/Dry Bones/Diddy Kong were 3.5, most others (Daisy/Pom Pom/DK/Shy Guy/Peach/Koopa/Bowser Jr/Monty Mole) were 3.33, Yoshi was 3.16, Goomba was 3.00 and Rosalina/Hammer Bro were 2.67. I do a lot with this game.
@lnx000711 ай бұрын
I first learned about these dice as a teen in a great book by Martin Gardner, The Colossal Book Of Mathematics (highly recommended). Your 3D visualization was great!
@michaelkindt328811 ай бұрын
Something I noticed is that the purple d[y]e beats the green d[y]e, but blue and red are evenly matched. Just thought that was interesting.
@JSG436111 ай бұрын
holy crap carykh video !!!! so excite
@CheesyAnimates4 күн бұрын
8:03 feels like a video game map, red being lava, blue being like a water fall area, green being a meadow, and... Purple as yoyle land.
@nicreven11 ай бұрын
cary I'm so glad that you exist on the internet in the way you do because you're so sincere in your love of math
@BlazeMakesGames11 ай бұрын
I find it interesting that in the final one if you compare all 4, the blue and purple die win 12 times each, and the other two win 6 times each. Which makes me curious if you can create a set of dice that has this property but if you roll them all simultaneously, they have an equal chance of winning. 36 is divisible by 4, tho something about each die winning 9 times out of 36 feels off. So I imagine it might be easier to pull off with 3 dice each winning 12/36 times or 6 dice winning 6 out of 36 times.
@er479511 ай бұрын
not the answer youre looking for but the easiest way to accomplish this is to use 4 (or however many you want) of the same dice
@theofficialwoohoogamers11 ай бұрын
purple beats blue, meaning purple is the best.
@MichaelDarrow-tr1mn11 ай бұрын
@@er4795 4 of the same dice doesn't have this property
@olbluelips10 ай бұрын
Good video! Fighting games are also non-transitive which is part of what makes them so fun
10 ай бұрын
Recommending a 13 year old video, very nice. I actually watched that just a few months ago! KZbin tends to only promote recent stuff, even though older stuff can be just as interesting. In mathematics, it is very common to come up with something, only to find that someone already did it centuries ago. :D
@goombaguy485911 ай бұрын
The ultimate Mario Party strategy video
@SpaceCatAtelier11 ай бұрын
0:33 cary swears again but this time censors it
@samieb471211 ай бұрын
that processing sketch blew me away. nice job
@saljaf797 ай бұрын
8:17 Right here you see blue and purple are tied covering 12 squares each, the other 2 covering 6. So purple and blue beats the rest. But purple beats blue so purple beats the rest.
@ivorynen11 ай бұрын
I have no idea what you're even saying but I love your videos in this format
@StaniKaz5 ай бұрын
why is this so interesting even though i don't even have a big interest in stuff like this I'm not using this for like reports or anything but i love it
@dracoteu252611 ай бұрын
this is so awesome i love when you make videos like this. like the palindrome one or the river crossing
@Melly_The1Ай бұрын
As a game dev, I really wanna use this to make a multiplayer game where each character class is balanced, but still can be used to beat another class
@Mintthemainecoon11 ай бұрын
Should I tell my math teacher about this?
@mikedoesthings213411 ай бұрын
This would actually be a really fun game, maybe like a board game sort of thing
@rym3611 ай бұрын
how so? also nice henry tophat leader pfp lmao
@mikedoesthings213411 ай бұрын
@@rym36 like if you could choose your own dice out of like a pool of dices with different combinations of numbers, then go against someone with a different dice maybe an online game would suit it better with the idea I have, also thanks
@metallsnubben11 ай бұрын
There's some sauce there for sure. In its base form you've got "fuzzy rock paper scissors" (just cause you "picked correctly" doesn't mean you win) but you could picture something with drafting dice, or even swappable faces tech like Dice Forge Maybe have different types of "faceoffs" like sometimes it's single dice matched up, sometimes it's the sum of a group etc.
@TheGraphicalHarmonicist11 ай бұрын
Try Mario party where each player has a custom die.
@rym3611 ай бұрын
@mikedoesthings2134 @metallsnubben @naxorissthanksfortheshouto8981 these are all pretty good ideas! im imagining an online game where you see your opponent dice, and have to pick a dice (out of a few options) that is most likely to beat it in little time. or maybe you have a specific number of "points" that you can spend to make your own dice. for example a dice of all 6's will be 36 points. so you would need to budget your points to be able to win. sides with no points put on them will default to 0
@Bbbbbnc11 ай бұрын
When you’re a kid you watch BFDI when you’re older you watch Cary explain mathematics
@TomatoSaucey9511 ай бұрын
real fun to the see the graphs and learn about non-transitive dice, real cool!
@triPocoPi957611 ай бұрын
This visualization was incredibly helpful
@sillyswrdd11 ай бұрын
YAAAY new Cary video!!! Yippie!!! Math is fun and there’s joy in the world
@asharpnotbflat11 ай бұрын
Math is a beautiful thing. Thank you for introducing me to these awesome dice!
@booiscaredyou.11 ай бұрын
6:30 me neither cary, me neither anyways this has taught me so much more than my actual math classes so like
@theswatguyxd897811 ай бұрын
This should be a tutorial channel
@Invalid-user13k10 ай бұрын
So many different ways to beat another color
@jamieelton11 ай бұрын
Classic Carykh! Glad to see a new video 🎉
@cloverleaflets11 ай бұрын
i literally dont understand going on in these videos but theyre so interesting
@deskseven11 ай бұрын
am i overanalysing this or can i smell ewow easter eggs in this video somewhere
@jacqueseven11 ай бұрын
Omg same like there has to be something here
@Luigicat1111 ай бұрын
Now I wonder just how balanced the Super Mario Party character dice blocks are. Which ones beat which other ones, and is there one that we could consider the objective "best" because it beats the most of the other dice?
@egon370511 ай бұрын
notably that's a lot more complicated because 0s can be good due to reactivating a space it would normally take an entire trip around the board to return to, and then also coins have to be factored in
@po1nt177611 ай бұрын
This is a dream state for multiplayer game design balance.
@EvelynFTTE11 ай бұрын
Honestly a really fun rock paper scissors type dynamic if that makes since. Like, would love if a game played with this idea tbh
@TheFinnish111 ай бұрын
Now I want to make some sort of 4-player battling game where each player gets an unique dice that's utilized in the gameplay somehow.
@nstvntt741011 ай бұрын
I'm not sure how well balanced it is, but some modes of Mario party have character specific dice!
@TheFinnish111 ай бұрын
@@nstvntt7410 Oh yeah i was thinking about that, but some characters even have dice that can give you coins so it definitely isn't 100% balanced all the time
@Zutanni11 ай бұрын
Non transitive property is why I want Ranked Choice voting instead of Winner-Take-All elections.
@maxneevo11 ай бұрын
Awesome video, glad your'e back making videos!
@secretterminal217911 ай бұрын
Great simple example of the basics of game design
@theanthonyx_10 ай бұрын
"Hey guys! It's me cary, and- **makes acronym** okay, i don't know why i did that." GOT ME ROLLING IN THE FLOOR 😂😂😂😂😂😂 Edit: i had to use double asterisks...
@flynnfoil11 ай бұрын
I ran simulations of these die and purple repeatably had the highest sum. That seemed strange until I realized that it was not about having a large sum. It is just about winning a particular roll -- while how MUCH you win by is irrelevant.
@CCABPSacsach11 ай бұрын
So, it's rock-paper-scissors, but with chance.
@zombieturtle1711 ай бұрын
Only Cary can make math fun
@beckhamjenkins479811 ай бұрын
Sick af, glad to seem you posting
@Grafyte11 ай бұрын
This like the pokemon equivalent of BUG, GRASS, WATER, FIRE. Bug beats grass, grass beats water, water beats fire, fire beats bug.
@derektaylor372610 ай бұрын
"There's this region between three and five, known as FOUR" yes.
@deamichaelis111 ай бұрын
If your life depends on it and the other person has to pick randomly from the remaining: 1st purple wins 56% 2nd/3rd blue/red win 50% 4th green wins 44% 67% purple vs blue 33% 67% purple vs green 33% 33% purple vs red 67% (67%+67%+33%)/3 ≈ 56% ≈ purple wins 56% 33% blue vs purple 67% 67% blue vs green 33% 50% blue vs red 50% (33%+67%+50%)/3 = 50% = blue wins 50% 33% green vs purple 67% 33% green vs blue 67% 67% green vs red %33 (33%+33%+67%)/3 ≈ 44% ≈ green wins %44% 67% red vs purple 33% 50% red vs blue 50% 33% red vs green %67 (67%+50%+33%)/3 = 50% = red wins %50%
@DanielRossellSolanes11 ай бұрын
the fun game begins when you have five dice forming two different cycles. for example A beats BC, B beats CD, C beats DE, D beats EA, E beats AB
@TheOne_69 ай бұрын
'Wait, they're all threes?' 'Always has been.' 3:42
@tabletgenesis34396 ай бұрын
The thing about chance is that it can go any way, so if you just make "A has a 20% margin over B" "A beats B", luck can roll you around. And if you flip a coin 63 times, the chances of you getting 63 heads is the same as you getting 27 heads. For a normal person, 27 to 36 isn't that surprising. But maybe, just maybe, there's that hardcore carykh fan begging to get a 27/63.
@MaxNovOfficial11 ай бұрын
I'm at the point where carykh teaches me math more than my school does
@shelleyisdreamin11 ай бұрын
Whenever you see a Cary showing you dice, you'll know you'll get an extra math class
@tanchienhao11 ай бұрын
Thanks for sharing your intuition!!
@FIREPOUND_STAN2 ай бұрын
Getting tutored by the founding father of the osc
@aglegator511511 ай бұрын
Plot twist: Cary actually rolls the dice and inspects who wins!
@LiftedStarfish11 ай бұрын
I think that, because you can mirror it and it looks the same, it's _not_ chiral.
@𰻝𰻝面好吃11 ай бұрын
I saw this at 26s…
@netzaltali11 ай бұрын
Although, if you keep track of the colours, the shape does have Chirality because the shape isnt superimposable with the order of each die intact. If you treat each die as the order of priority then the order. Green, blue, purple, red is different to purple blue green red and thus has chirality.
@MudakTheMultiplier11 ай бұрын
In one of the newer Mario party games all of the characters have unique dice with different numbers, I'm curious how those would look in a similar plot.
@Snaps1234511 ай бұрын
This is kind of the core of strategy game design. The purple die being over kill when it wins reminded me of using high single target damage against many small enemies. You SUPER kill the ones you hit but you hit barely any of them.
@uhhddhd3 ай бұрын
The " **krashes hard** " is looking like kh when you delete the rashes and ard
@Cocoawaffle11 ай бұрын
Cary: *a few years go* 2016 being 8 years ago in less than a week:
@blacklight68311 ай бұрын
I mean my first instinct is to add all of the side numbers together then divide by 6 If 2 has the same average the one with less small numbers over all wins...because my luck suck so even a worst case scenario wont be as bad
@gyroelongatedpentagonalbip72811 ай бұрын
10:30 "Now luckily for us, there's this region between three and five, known as four" Idk why this sounds so hilarious