got a pack of cards, I’ll give you a quick look through them you can see, they’re kind of just in random order there but this trick is about shuffling anyway so we’re gonna try to make them even more of a random order and I’m not even gonna shuffle them, you’re gonna shuffle them. What I’m gonna ask you to do in a second is deal out onto the table, as many as you like let’s try and make it roughly half, so between twenty and fourty although it deosn’t matter, and then you’re gonna riffle shuffle the together BRADY: Now this is me doing it for real everyone JASON: There’s your cards so you can deal BRADY: Deal like this, like… JASON: Yea, just deal that onto the table, as many as you like BRADY: **counts mumbling** twenty-two, tewnty-three, twenty-four, twenty-five, twenty-six, twenty-seven JASON: so they sell it… BRADY: tewnty-eight! twenty-eight! JASON: twenty-eight? okay, and I’ll just order the up for you, so… , nice and then you’re gonna riffle shuffle those together BRADY: hang on… JASON: it’s important to show you, Brady didn’t do a perfect shuffle even after all this practise youve been having and you’ve been telling me about. So I’m gonna shuffle them in. Happy? BRADY: Yep. JASON: in they go would’t it be weird if, after the random number of cards you counted after the riffle shuffle you did, you actually shuffeled them back into order wouldn’t that be strange? ah, this is not quite where – I mean you got two red, two balcks, I mean it doesn’t… look like you actually have, Brady, does it? BRADY: No, they are not in order JASON: mhh, not at all, except for unless… unless I could maybe convince you, that actually, you did shuffle them into order ‘cos actuallly what you did, without realizing… you shuffled it every two cards – every pair of cards, has one of each colour the first two is a red and a black, the next two – red and a black read and a black, every two cards… has one of each colour, all the way through, even if there’s points , where there’s a double red together, if we deal the off in twos… strangely, each pair of two… has one of each color, which, surely, you’d agree, that’s quite improbable BRADY: Amazing! JASON: But it get’s much more interesting than that because wouldn’t it be

strange if every four cards had one of each suit there’s a heart, a club, a spade, a diamond there. the next

four cards is a heart, club spade, diamond even though they’re in a different order

they’re still definitely one of each suit again a different order every four

cards to different order but it’s definitely one of a series four strains

and maybe you are better suffering then he sought is quite impressive but you

know well Brady Joey done even better than that you shuffled its every 13 cars as one of

each value 123456789 10 11 12 13 have a checkered restarting is definitely one

of each value NACE 23456789 10 Jack Greene King’s crazy 123456789 10 Jacques

Greene King one of each other again isn’t that strange again one of these

order and you’ll notice it’s weird because the orders different in each set

of teen fantasy which he was allowed to know some of the math behind there now

you can do to you can so that I K rice I’m gonna show you the properties

of a permutation you go through when you do that shuttle so the shuttle bay neat

deal out a certain number of cars and then you whistle shuttle amend it

doesn’t matter if it’s not partly what properties does that permutation have to

demonstrate it i’ve numbered the cars just with the natural

counting numbers 1 to 2 52 and we’re gonna do that subtle to these cars to

see what happens asserting was you dealt out some cars again it doesn’t matter

how many Delta I think I think he did you did you did a surprising what’s

important here is when you deal and how you were in the order was a crucial

saying so those are the ones at the top now it’s going to be the bottom 23456 28

says your turn to rate cards when you order reversed now we’re gonna riffle

least two together and the only thing we can guarantee that this card is going to

get settled in above this card above this card and so on its okay shes gonna

get riffle together in a second when we put these together we’re going to get a

new string of numbers day where we put it together we’re going to get a new

string of numbers and we’re gonna look at the crucial properties always occur

in this permutation so the first thing I want to try and convince you is that

when we pushed together if we take the first let’s say 10 cards or 11 cause of

12 cause they will be a set of consecutive numbers for example let’s

say the first ones that I this first again this time from this spot and this

one may be another 15 from this problem maybe another one you can see what

happens whenever I add one to the bottom of the policy shuttling together the one

I add is always going to be one smaller than the small Escada house 001 bigger

than the biggest con how safe is here I’m kind of counting down here and

counting now so I’m gonna be adding one smaller than the smallest cause I have

641 bigger than the biggest card that means that the cars I collect here we’ll

all be consecutive just built and built them up by taking one from one side or

the other side of this side the side so obey consecutive string of No others 36 27 28 29 30 so they are

consecutive even though the mixed up and it didn’t matter how many I take are

still get a string of consecutive numbers even though that makes that day

as a guaranteed and next thing I want to convince you of

is that the first K numbers will different module ok to just in case we

don’t know what modulo is modular is essentially the remains you get when you

divide by the number so 605 is one that has a remainder of 10 and 11 muslim

fighters also 125 is to go out to eat at 2525 and then we got the two alleged

look at will look at 54 now if you look at the first five cards their

consecutive numbers and not in the right order but these numbers are consecutive

we have five consecutive numbers is actually a guaranteed that they’ll be

all be different modulo 52 let me try to explain that live there so I have

written out the first 16 counting numbers and if I take the first five you

can see they’re all different modulate 5/5 I get remained 2012 2-3 made it 4-0

and if I shifted up the next five consecutive numbers of lost this July 15

game this one here they even have lost his mother 1 I’ve gained this one city’s

five consecutive numbers are still all different level 85 and I could do it

again each time I shift up I lose this modular five-game the equivalent value

at the top and you can keep on doing that each time losing value but gaining

the equivalent modulo value at the top so that means any five numbers will be

different if I actually any six numbers will be different muslims 64 whatever

value we take and the sad fact that here has taken out the first head of US

shuttle now we know that these numbers are all different modulator if they’re

all different modulo hair and then there must be two of each value modulo five

can you see that here there’s to modulate 2721 Muslim 52 equipment to

2345 and so on so we got 10 numbers all different on July 10 but two of each

module i-five says these five all different module 05 and that means that

the next five also going to be different Muslim thought and that if we continue

that on the next flight would be different slow fire and so on and so on continue

indefinitely each SAT 05 has one of each value each

equivalent value modified that is all we need to know about this trick because in

this trip we haven’t actually use numbers we’ve used as the values of

cards because these numbers starting counselor they naturally cycle through

the different values each module a separate set of 4 10 42301 mostly for

230 and so on we can look at modulo 30 mins which

relate to the different values and so on so to do this trick we need some of the

cars a cycle through the different values just as the counting numbers

cycle through the different modalities ok so maybe I can relate their clubs 21

months or maybe I can relate their hearts to to mod for the spades just three months for diamonds 2014 ok

so we know we’re going to have a say goes clubs hearts spades diamonds clubs

that space divers that also goes black red light red light red so kind of

alternating modulo 2 as well and because he wanted to do this thing with our use

of the cars the AC three kings we want a system that cycles through the A three

kings and repeating cycle as well but just having a 23456789 10 queen king

looks like it’s an order parts or we do we have us we have US tax system so it

looks mixed up but actually is a repeating order to the very start when I

sobre the cars at first glance maybe a look around them actually it was

completely or the completely set gonna get them so they cycle through clouds

spades diamonds and also sell a cycle to one of each value every searching cars

here is a pack of cars we got it completely ordered I’m going to use a very famous we’re

stuck in the cards that uses a ride eight kings threatened to save nine

ladies 416 knife I say why me we’re gonna go to website states that

eight kings the rat 310 say ladies 41 sick and we just do it

again but now we’re starting the heart we started reading the club now has

eight kings and to save nine ladies for 10 days he’s sick I’ve got two more 816

see not only cycles just how the county number of cycles even so different values modulate to

this also cyber see black red black red black grey black red just how the

counting numbers cycle through different values modulate for space Diners Club

cards spades diamonds club hearts based on his by the way the distance you to

use is chased see the club’s 80 hearts and then you can see just how the

counting numbers cycle three different values modulate team we saw those two

different certain possible values of a car’s eight kings 310 2795 queen for a

six shot and then you can just start the trek but I you can actually I just want

more convinced to do you can say is a pack of cars all different cards and you

can let them give them a cuts you can say to them I wanna I wanna let you

start the packet and ecology likes you can cut the park anywhere any way you

like and then they can start from that and I’ll be fine because it was still

cycle through the different values in order and the different suits in order

and read like where you can start with a cut if you like even more convincing this number further

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What watch is Jason wearing? Missed the entire video because I was trying to find a good shot of it.

A card trick made up of video edits? Yeah. Amazing.

"Consecutive even though they are mixed up." Jason Davison, 2016.

This trick is amazing! Thank you so much!

Or you could just you know watch about this concept on vsauce's channel. Easier to understand and more entertaining 🙂

dont get it when u mix up the cards, how its not possible to 2 reds from different decks to be one after another ??

didnt get what he said at 8:36 "so to do this trick, we're going to (unknown word) the cards.."

I used to do the one where you added 3 so A 4 7 10 K 3 6 9 Q 2 5 8 J

Robert Kubica

Oh look! It's low budget Noel Fielding.

lol I saw the every 13th card thing coming XD

Numberpile, please no more content on magic. There are a lot of neat pieces of mathematics involved in magic and I have scrutinised quite a few. Yet, I don't go out there sharing those gems with anyone. There are many opinions regarding this issue, like sharing is love, or this exposure might generate more interest towards magic, or there are so many other people out there exposing them so they aren't really secrets, or said trick is a simple one so it doesn't hurt if we talk about it. I can respect the first opinion, even though I don't agree with it. My personal preference would be to see that stop; you're a popular channel and you have a lot of responsibility. Following on that, even if you decided to talk about this principle, your content really made it a disservice.

everyday I´m shuffling

so many card trick this month

Paused at 0:03, I see a pattern. I'M SUSPICIOUS!

If only our math high-school teacher came with a pack of cards when he taught us Permutations.

All math teachers need some course on how to sell their merchandise. Cause if they're just writing letters and numbers on a blackboard, kids will look for the nearest exit.

Thank you Numberphile, bringing cool thematics back in mathematics.

(thematics is not a real word, the youtube red line says so, I imagined it might be. Now I just squared it and looks negative)

5:31 Fitting music is fitting

Would this work with the standard CHaSeD deck setup of increasing by 3 each time?

This made me smile 🙂

A mathematician can surely ruin a card trick lol.

Props for upside-down writing.

This is barely a trick. Anyone with a brain will ask to shuffle the cards themselves before you ruffle them.

WHERES JAMES

You put the Math in Matthew Bellamy

Does anything get messed up if they initially deal down an odd number of cards? If they dealed so they had to shuffle 1 pack of 25 with 1 pack of 27, could that mess up the ordering?

Do the cards have to be in the Kings threaten some sick knave something in the beginning?

But can he do it on a rainy night at Stoke?

All this while i sat thinking that there's some inherent mathematical property among the cards that allows them to be perfectly aligned from any order we start, and then you reveal some cheap magician parlor trick used to set the cards up beforehand!!!

That's not math, that's a waste of time.

That upside-down writing tho! Like a Baws! he doesnt even flaunt it either… that blew my mind…

#oldest stackever

Maybe I'm crazy but this guy's face reminds me of Jesse Pinkman from Breaking Bad.

love this math with cards and shuffling videos!

but it depends on the riffle shuffle, doesn't it? shouldn't 7 riffle shuffles make the deck almost random?

pls tell me what does it imply when we get 'negative' area as an answer to a question in maths ?

It's an interesting principle, but that's a pretty underwhelming card trick.

This trick does not work with decks of 32 cards (7 up to Ace) (very popular in Germany) 🙁 but you can (kinda) still do it is you leave out the mod4 part of the trick…

Any sufficiently advanced technology is indistinguishable from magic.

I don't get it, how do you ensure that no two same colours are shuffled next to eachother?

why do you have to do that in that particular order (eight kings bla bla fair ladies bla bla)

What kind of sorcery is this??

This guy looks like he trains dragons

Shuffling cards will never be the same again.

ehhhhhh….. what?! I must watch this a few times!

In my opinion that mnemonic isn't as memorable as this one: "King HenRy, the Knave! Six Fine, UnForTuNate Queens now Sigh in Heaven." (K 10 3 J 6 9 A 4 2 8 Q 5 7)

Even brilliant YouTube channels "jump the shark"

just did it at home and it worked. I am pretty impressed 😀

Writing upside down seems quite a feat , probably valuable for a magician !

Do a video about rubiks cube!

+NumberPhile Could you make a video about triangles with 3 right edges. It would be interesting also to see how to calculate the coordinates of the three points.

+Numberphile, I have a question which I have wondered for a while now, and I was wondering if you could calculate the total number of possible key combinations that are possible on a piano if a human had infinite hands. (So of the 88 keys how many ways are there to play the notes together (and singularly) in any combinations up to all 88 keys at once. (e.g all 88 keys, all keys excluding g7 and b3, no keys, and so forth for all the other combinations which are possible.))

Could you cut as many times you want?

numberphile….I have 2 questions maybe you could make a video about…

1: if pi is infinite and can contain any number imaginable….can it contain another pi? Because if it can, it's not non-periodical, as pi would be repeating itself. But if it doesn't contain another pi, it means there's a number combination into found in pi, which means pi isn't infinite. Either way you choose, one half of definition of pi doesn't work…

2: say you have a graph x^∞. What happens? ok for f(0)=0 and for f(1)=1 but what would happen in the negative quadrants? is it treated as an odd or even exponential function? is the limx->-∞ + or -∞?

Numberphile i need an answer!

what is :- Infinity * 0 = ?

infinity / 2 = ?

infinity / infinity = ?

infinity / 0 = ?

Hope you can answer it !

– The Magistrist

Well, I felt smart until about 6:35…

Nyquist-Shannon's theorem video please

I did this and I got two pairs cards that where the same color…

Could you make a video explaining why the digit sums of cubes follow a pattern of 1, 8, 9?

Can you post how to make an elliptical pool table/loop table or post the dimensions, please?

Gracias johnny rotten!

are you a wizard? I tried this trick and didn't work for me. 🙁

TODAY IS PI DAYYY

Do something About ELO ranking system

Can we get a video on Fermat's last theorem which has now been solved???

It is a great channel…

You know guys… this is numberphile… every card trick will be math based and meant to just "trick" you, not amaze with smoke and juggling blades…

I mean, for christ's sake, the man doing the trick is a mathematician, not a magician!

He's no mathemagician! He's a MATHEMATICIAN!!! (Sorry, Just realized that mathematician and magician rhyme)

I have a question for you, can you actually divide 100 by 3, I have been told there is a way to do it with remainders but I still believe that it's impossible.

Have so far only watched 10 second and I saw that the cards were not lying in a random order.

i was riffleshuffling the other day and thought, how many perfect riffleshuffles can you perform on a deck of cards until it returns to the starting point. So i wrote a small program to calculate it, and found some interesting results:

first of all, for 52 cards, the answer is 8.

next, the numbers had no clear consistency. i tried to find any sort of formula to calculate it but the results seemed pretty random to me, Except for powers of 2.

for any number 2^n, the result is n. I've tried for a couple of minutes to figure out why but didn't seem to get anywhere. And so I turn to you Numberphile, oh lords of the mathematics, I have results, yet no conclusions, and it would be amazing if you could get to this topic because I'm really interested.

love numberphile and hello internet!

Maybe I missed something but what prevents someone from shuffling two hearts/two aces etc together upon that single riffle shuffle?

I am not sure if this is a question that has been created (yet), but… "If a road was pi meters long, would it go on indefinitely or would it end?"

gilbreath… Immiediately when I heard deal down and riffle shuffle I knew it was about Gilbreath

This one made famous by Leannart Green

This trick depends on how the person would pick out any number of cards. Say if someone just cut the deck and jumbled them on the table, if the same conditions were true at the end, THEN it would be a card trick 😉

I remember using this trick to ask someone to prom.

Great video. You make maths great!

if you discover my life acaan 2704 i give you 1000 dollars?want?

But it wouldn't work if you start with a deck sorted by suits… especially if the person you were doing the trick for decided to cut only 3 cards.

I saw this trick in a magic trick book once, but the book's explanation for why it worked was essentially "It's just a mathematical fact that this works." I'm very happy to see an in-depth explanation for this.

This is how to shuffle MTG cards to avoid mana flood.

I get all that, but what about the shuffle?

neat!

This is one of the better non skilled card trick I've ever seen.

This guy looks like he's gonna try to sell me his mixtape

I have already worked out a presentation and this is going to be a featured effect in my close-up act, ty

I don't trust anyone with a thumb ring

Nice trick 🙂 Just wondering, is it possible to adapt it to a 32 card Hungarian deck? Basically the same, but cards from 2 to 6 are missing.

To the people who are wondering about the Upside down writing…. Jason is left handed…Few of them write everything upside down…bending their hand other way unlike right handed..so, he can easily write upside down with straight hand..

Please don't give this away… 🙁

Arghhhh! My brain hurts 🙁

But it's SO clever, I can't stop watching…

Does this trick work with Si Stebbin's stack?

What’s wrong with the English subtitles?

Someone do sneaky things with subtitle

Kakegurui

Kakegurui

9:55 is what you all came here for if u wanted to learn the trick :p

9:26 They are marked.

Magic Card?

What I didn’t understand in the performance is that it’s all math and no sleight

Kakegurui brought me here. Shout out to Saotome.

Here after watching some anime about gambling on netflix.

Is this even the Gilbreath Shuffle? I've been looking to how to do that and I'm having troubles with it