Combinations of 52 cards (52 factorial)
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- Опубліковано 11 вер 2024
- A small clip from a video created by Vsauce. Original video here • Math Magic
Check out his channel here. / vsauce
Whenever you shuffle a deck of 52 cards, it is quite likely that you are achieving something never done before in history. The number of combinations is 52 factorial.
Update: made it 5 steps around the equator and the sun exploded. Please advise?
What is your location? Over.
We'll need you to report to the nearest available constellation
This comment is not for everyone one
"Please advise?" is how my passive aggressive boss ends his emails.
David Ferrara add a single ml of lighter fluid every 1 trillion years until you finnaly make a new sun
I mean technically, the sun wouldn't go nova, as it's not large enough.
But interestingly your comment brings up the eventual cooling and expansion of the sun into a red giant star, potentially swelling large enough to engulf the entire orbit of the innermost planets, which would of course mean it would take significantly shorter amounts of time to stack paper into the sun.
Once in a while, I feel the urge to come back to this amazing explanation in order to put our lives and our importance into perspective.
Same
@@rajverma2594 watched it when it came out and still showing it to people so often if talk about at topic related. too nice thx too vsauce
Anyone know any other visualization videos or write-ups like this? I love these. I just don't know how to find others like it.
Ditto
Or we could just wait until my daughter gets out of the bathroom, same thing
Lmfao
🤣
@@juggernautone577 Boring to See your Comment, But there is another Video here
You mister deserve more likes and more empty bathrooms of course.
That just made my day. Thank you
I'm glad you were born as well.
I should have thrown that race
@@kokujin5446 hahahahha that was good
No matter how many times I here this, I just cant believe it.
YES! i dont either
It's so cool because it's so counterintuitive.
*hear
If you wanna hear something even crazier, check out how many possible games of chess can be played
Big numbers hurt my brain
This is almost unbelievable. I guess I can feel cool now about how much I'm innovating when I play with a deck of cards.
I see you watched this a week ago
@@namyak-bf9od I see you watched this a year ago
@@Birdofman commented a year ago maybe, but I watch it every day
I see you watched this 2 months ago.......@@namyak-bf9od
@@Birdofmani see you watched this a year ago
I just took my third step and I'm already bored of this
@Richard Yuan r3kt my paper is halfway but I just realized that global warming fucked some shit up back here and the sun is gone, so RIP
ha! @@Spoontamer4
Hey that’s my last name... are you my long lost cousin?
That moment when you completed 52 Factorial Seconds draining Pacific ocean only to realise you forgot to add in the 2 joker's and need to start over
the jokers are not in 52! it would be 54!
@@celem12 yes exactly
it‘s 54!:2 assuming the two jokers are identical
HAHAHAHAHAHHAHAHHAHA:(
Just do 54 factorial
Other crazy stat, if you took a penny and doubled it every day, 0.01 to 0.02 to 0.04 etc. It would only take about 240 days to have this number in dollars
Holy shit that’s insane
you either explained that poorly, and i dont understand. Or this is just not true
It is the magic of compounding. Doubling something every day gets very big very fast. By day 10 your 1 penny is now $5.12. By day 30 it is $5,368,709.12. Now imagine day 31, we double the previous number to approx $10Million, then day 32 $20Million and so on.
But I will admit there was a mistake, it does only in fact take 234 days not 240 which was originally posted! Hope this helps!
@@scottschram6029 OMG I really could not figure out what number you were talking about haha my bad. You talking about 52! Ohh that’s very interesting. Only 240 days
I really couldn’t figure “this number” was referring to 52 factorial, im a fool.
That’s almost a year to make $240. Not a lot of money
If you gave every human that had ever existed(120 billion) a deck of cards at birth, and they shuffled the deck once every minute of their average lifespan (65 years) the total shuffles from all the humans that ever existed would be 4.1x10^18, or 0.00000000000000000000000000000000000000000000000005% of 52!
A bit more shuffles but yes :)
This is how much is left after you subtract it:
1,9674218475588338602037232174218e+49
to the average idiot, this makes it seem like there's actually a chance of repeating a set
l do not believe you!
@@DampLover how did you calculate this number?
@@ivandaniel2596 which part is unbelievable?
Okay, so I just followed these steps and had 52 seconds left over. What does Scott have to say about tha- hold on. Sorry. My watch battery died. My bad. I’ll do it all again.....
Ha. :)
Lol
By the time you finish all the shuffles all the bismuth on Earth will have become thallium, and perhaps further into gold, and you're still shuffling.
And possibly even hydrogen nuclei have decayed, though to what we don’t know, yet.
I've watched this video like 8 or 9 times now! I still can't wrap my head around it! I love telling people about it and when it just sounds to unbelievable to them (it always does) I just show them this video!
I don't know why people believe this 😂 it simply isn't true...
Really? Your right! Just like the Earth is flat and everything in the universe revolves around us.. . People believe it because it's true and very EASILY provable; just do math.
@@boahnation9932it is inarguably true lol it’s straight from the math
@@boahnation9932just do the math. Honestly factorials are extremely simple.
Saammeee
I don't know why the thought of billion years passing with me in it is scary
Because you are made to only be able to mentally handle maybe a little over 100 years.
I forget what book or form of media I heard it from (hell, it might have even been something I thought up years ago) but the quote goes something like:
"There is no greater hell than having a mortal mind in an immortal body."
Thank you! I was telling people about this, but they didn't believe me
My advice? Dump your dimwitted friends.
Yeah i get the same blank stare...people are more interested in pics of puppies or hamburgers on FB rather than interesting thought-proving stuff like this😏
@@jamesrgoes man stop being like this
I think rhats why his friends dont like him
This is about the most mind boggling thing I have ever heard. The scale of this number is almost incomprehensible. There is a glass of water and a small stack of paper next to me now, and to think how long it would take to get half a glass of water, or even a few sheets of paper on the floor, let alone empty the ocean or get the paper to the sun. Its an unbelievable visualisation that has me in awe every time I think about it.
It’s not almost. It is incomprehensible
You're thinking about it wrong haha.
It’s truly incomprehensible it’s such an absurd money. Math is crazy and it really makes you think about time… scary almost
@@LaZaRo___ Not exactly. Comprehensibility isn't a binary thing.
This is absolutely mind blowing!
Then go watch the numberphile videos about some really big numbers like rayo, graham's or three three...not punny 52!
I come back to video every year just to have my mind blown again and again
I've watched this dozens of times and it still blows my mind and doesn't seem real.
I finally found this video again! This is by far the best visualisation I can find on YT!
"Most people .... won't even get to die like you do, they won't even get to be born. So, I'm glad you were."
d'awwww ....wait, was that a compliment saying you're glad I was born? Or are you just glad I was born because that means I "get to die"?
Only people who watch this video will hear that statement from him; hence, he's grateful for his viewership.
Time-saving Tip - every drop removed from the Pacific ocean is REPLACED by a drop from the OTHER oceans UNTIL their levels drop low enough to prevent their replacing the drop removed. from the Pacific. This will increase the paper-placement time interval by about 25%. To compensate. every 4th Pacific emptying is a LEAP emptying, so add TWO sheets of paper!
Tim Sullivan Underrated, holy fuck!
I believe every word you typed, because that's exactly what I wanted to read.
Holy fuck true!
@@as7river space ghost…is that you??
Friend: hey wanna play a card game. Me:sure! Friend:ok fifty two factorial pickup! Me:haha very fun-wait what? *as my friends pours out a the contents of the box slowly covering the floor than the house than the entirety of the planet with more cards than there are predicted atoms on earth*(1.33x10 to the 50th power)
Lol!
You uh, fairly butchered that joke didn’t you?
How about we don't do any of this and just drink beer until timer reaches zero.
thats a lot of beer m8
A really good explanation of how big 52! actually is.
Set a timer to count down 52! seconds (that’s 8.0658×1067 seconds)
Stand on the equator, and take a step forward every billion years
When you’ve circled the earth once, take a drop of water from the Pacific Ocean, and keep going
When the Pacific Ocean is empty, lay a sheet of paper down, refill the ocean and carry on.
When your stack of paper reaches the sun, take a look at the timer.
The 3 left-most digits won’t have changed. 8.063×1067 seconds left to go. You have to repeat the whole process 1000 times to get 1/3 of the way through that time. 5.385×1067 seconds left to go.
So to kill that time you try something else.
Shuffle a deck of cards, deal yourself 5 cards every billion years
Each time you get a royal flush, buy a lottery ticket
Each time that ticket wins the jackpot, throw a grain of sand in the grand canyon
When the grand canyon’s full, take 1oz of rock off Mount Everest, empty the canyon and carry on.
When Everest has been leveled, check the timer.
There’s barely any change. 5.364×1067 seconds left. You’d have to repeat this process 256 times to have run out the timer.
Mersin twister 🌪 cannot do these many combinations. Poker stars is based off of mouse movement and click speeds. Although their rng is quite large it doesn’t come close to 52!
AND thats just one shuffle YOU have to remember that each shuffle starts with a new combination of the 52! Where as online systems rearranges the deck from AtoK further limiting its combinations compared to a real life shuffle.
Vsauce states, “You will, probably die” and not *will* die implies that he has found the secret to immortality and is currently taking a vacation on the sun.
Lol
You can fit all card combinations in a box about 200000 light years a side - twice as wide as our galaxy, so you can fit them in the observable universe but still a big box.
Would the universe implode if I made some of the cards upside down?
Parker Black that would be 104! combinations
That would be 104 factorial 10299016745145627623
84858386476504428305
37724549990721823254
91776887871732475287
17454270987168388800
32359657041416383776
95179741979175588724
73600000000000000000
0000000
@@jabbogaming8942 104 factorial would be if he either flipped all or none of the cards over, if he flipped every possible amount of cards for every arrangement of cards, it would be 52×52 ( 2704) factorial.....
Fat Kid Inc. If all or none are flipped wouldnt it stay 52 factorial? Genuine question i aint smart
Fat Kid Inc. nope it is 104x102x100x98x96x94.....
Man, makes the "bird" scene from Dr. Who look like a vacation.
I'm making good progress on watching this 52! times. Thus far I have watched it 2! times.
Or you could win rock paper scissors 143 times in a row.
This is a super interesting video. 52 factorial (8.0658x10^67) is a relatively small and insignificant number relative to the probabilities which would be associated in constructing biological structures and systems via random chance mutations. Random chance mutations being the proposed mechanism for the creation of biological information from an evolutionary perspective, this is the best video ive ever seen to help put into perspective the enormity of such probabilities and how insignificant the proposed time frames are in allowing such happenings to occur by such means.
The construction of a single protein can require the precision ordering of many thousands of amino acids, creating a probability far in excess of 52 factorial to create even one usable protein by random chance.
With basic structures like proteins presenting such problems for being produced by random chance it becomes ever more apparent that random chemical interactions are a poor explanation for cells, tissues, organs, organ systems, organisms and the entirety of biological information presented in the vast array of life we see in the whole of the biosphere.
There's a scripture in the book of Daniel eluding to the last days that says "many shall run to and fro, and knowledge shall be increased." its also written that "Knowledge puffs up, but love edifies." which is a problem for us on the one half because “God resists the proud,
But gives grace to the humble.”
The world; isnt it ever saturated in knowledge yet ever departing from God? The general tilt of humanity tends to lend to the idea that to be a fool is ever valued over wisdom. "The fear of the LORD is the beginning of wisdom: and the knowledge of the holy is understanding." "The fear of the LORD is to hate evil: pride, and arrogancy, and the evil way, and the froward mouth, do I hate.' but "The fool has said in his heart there is no God" .
Which all goes to show knowledge is no safeguard to being a fool. We are a world of knowledgeable, intelligent fools, even going so far as to say that man was not made in the image of God but that we are the process of random chance, defying rationality, mathematical or otherwise, and that within our Godless progression we of ourselves created God rather in our own image. That humanity in his mind birthed God and brought him rather into the world.
"Because that, when they knew God, they glorified him not as God, neither were thankful; but became vain in their imaginations, and their foolish heart was darkened. Professing themselves to be wise, they became fools, And changed the glory of the uncorruptible God into an image made like to corruptible man..." and then at the height of foolishness such ideas are portrayed as intelligent and their authors and champions put in positions as instructors for children and young minds. It will be a terrifying accountability to God for those minds.
"If anyone causes one of these little ones--those who believe in me--to stumble, it would be better for them to have a large millstone hung around their neck and to be drowned in the depths of the sea."
It is true that the random odds of a certain number of molecules to attain a particular configuration must be very long odds indeed. However, unlike a single deck of cards, the number of atoms and molecules at play are vast, essentially infinite, and the initial spark need only happen once. So while this pool of chemicals over here may accomplish nothing, there are infinite pockets or pools (or whatever you wish to call them) of chemicals in play. Furthermore, the speed with which atoms and molecules interact is very fast, so while we might discuss playing cards in terms of the vast number of seconds that would total up before we could shuffle cards in all the different possible ways, a unit of time much, much smaller than a second would be appropriate for atoms and molecules.
IMO one need not consider such a process to be a godless process. If there is a God who has infinite power, then he has infinite patience and time. Indeed He would exist outside of time itself, and the process that appears "random" to a human may just be the method that He chooses to accomplish His will.
@@derfunkhaus hey breadman. Hope you're well.
Evolution proposes that all the various forms of life mutated out of a common ancestor. In this case we are bound by reproductive cycles and mutation rates within organisms. This is what I was speaking to.
The concept you're describing is abiogenesis.
I would say abiogenesis is also mathematically not feasible. For innorganic material to spontaneous arrange itself into a life form is beyond my capability to believe.
Even the simplest organisms have at least about 300 genes averaging about 1,000 base pairs per gene if I remember correctly.
Then even if you could fathom DNA spontaneously generating it's useless without proteins to properly read it. You need DNA, ribosomes, enzymes, cell membrane etc all to exist simultaneously and in perfect corporative order so that the first life form could exist and as importantly to replicate.
And we don't have infinite material. The number of atoms in the earth is about 1x10*50. And most of the material that would even be reactive in such a needed manner would be a small sliver of a percentage as most the earth's mass is molten.
If you needed to order 300,000 thousand base pairs of dna exactly , the probability would be about 1 in 4*180,000 power. The number of atoms in the known universe is only about 1x10*80. Of course maybe there doesn't need to be perfect accuracy in the dna sequence so maybe your odds can get a little better . But then you have the issue of getting 300,000 base pairs to even form before you even addressed the problem of correctly arranging them. Then we have the probabilities for forming the cell membrane, the enzymes to read the DNA etc. I think an odds of 1x10*180,000 would be incredibly generous to the evolutionary perspective .
Imagine you took every atom of earth and reacted it with a potential to create a correctly ordered base pair. Imagine you react every atom on earth 1,000,000,000 times per second for 2,000,000,000 years.
That means after 2 billion years you would get about 6x10*69 reactions. Divide that out and the probability you succeeded would be so bad you would have a better chance of pulling a specific atom out of the universe by random with a blindfold mixing it back in the universe and picking it again.
If we imagine the aspect that God is at play (which is something I agree with) then we need not guess what's transpired, but can plainly take him at his word.
"For in six days the LORD made heaven and earth, the sea, and all that in them is, and rested the seventh day: wherefore the LORD blessed the sabbath day, and hallowed it." Exodus 20. He made it in 6 days.
@@doost7846 Your bible quote doesn't really _explain_ what transpired in the context of atoms and molecules, so it doesn't seem pertinent to the rest of your argument. If you find that quote to be all the explanation you need, then of course that is your right to be satisfied with that. But tacking it on to the end your back-of-the-envelope mathematical musings doesn't bolster your argument.
@@derfunkhaus hey breadman, the awesome thing about the Bible is it presents in such a way as to be on the opposite side of mathematical probability from where we've observed abiogenesis and evolution to live. Where as math makes evolution and abiogenesis appear outlandish it makes the Bible appear as a valid document inspired of God. The book of Daniel for example was written about 600bc. It accuratly portrays a chronology of world events in relation to the succession of kingdoms and world powers over 2000 years in advance, giving details that make it evident the predictions in the book could not have been written blindly by an uninspired author. Which means we can trust God when he says he made the world in six days and didn't use a long drawn out process.
@@doost7846 That's an interesting subject but ultimately the Bible does not serve to bolster or refute scientific arguments. Science has to be testable. We can make assertions about things that are typically the purview of science, such as biology or chemistry, but those assertions by themselves do amount to science. The Bible's explanations of events amount to mere _assertions_ , not as scientific evidence or proof. Of course a person is free to accept those assertions as facts from their own point of view, but it would be accurate then to also say that that person was satisfied with a non-scientific process of looking at the world. One drawback to this approach that scientists avoid is, what do you do when one holy book such as the Bible disagrees with some other religion's holy book?
Mindblown
Update: finally reached pacific ocean. Can’t walk. Too much plastic. Standby
I searched 52! and UA-cam brings me to a secret Vsauce video I have never seen. Thank Quarks
Edit: I have seen this before in the original video, I just forgot. I withdraw my thanks to Quarks
This is madness!!!
Watching in 2020, still awesome video...and scary.
Chris , you are amazing and this is an incredible maths video , well done , make lots more. Such fun for kids and adults ( kids too really ) , just shows how maths can make you laugh and learn at the same time.
This isn't "Chris" this is Micheal from the account " Vsauce" its actually a stolen video
@@klaasbeek5601 it’s not stolen he credited vsauce lmao
He didn't make this video. This is Vsauce. Chris even said this in the description. Which, yes, means it's not stolen. It's a clip.
@@bread_girl_jane I stg you're the only other person in this comment section that read the description lol
understanding this is math, it is still maddening.
I loved the counting part of this video
I must be thick. I still don't understand why it is such a large number.
For any one that really like walking around the world you could instead do the first thing 3000 thousand time or if you want to play with jokers you could do it 8,586,000 time each time getting the piece of paper to the sun seems fun to me
Start by picking your favorite spot on the equator. You're going to walk around the world along the equator, but take a very leisurely pace of one step every billion years. The equatorial circumference of the Earth is 40,075,017 meters. Make sure to pack a deck of playing cards, so you can get in a few trillion hands of solitaire between steps. After you complete your round the world trip, remove one drop of water from the Pacific Ocean. Now do the same thing again: walk around the world at one billion years per step, removing one drop of water from the Pacific Ocean each time you circle the globe. The Pacific Ocean contains 707.6 million cubic kilometers of water. Continue until the ocean is empty. When it is, take one sheet of paper and place it flat on the ground. Now, fill the ocean back up and start the entire process all over again, adding a sheet of paper to the stack each time you’ve emptied the ocean.
Do this until the stack of paper reaches from the Earth to the Sun. Take a glance at the timer, you will see that the three left-most digits haven’t even changed. You still have 8.063e67 more seconds to go. 1 Astronomical Unit, the distance from the Earth to the Sun, is defined as 149,597,870.691 kilometers. So, take the stack of papers down and do it all over again. One thousand times more. Unfortunately, that still won’t do it. There are still more than 5.385e67 seconds remaining. You’re just about a third of the way done.
To pass the remaining time, start shuffling your deck of cards. Every billion years deal yourself a 5-card poker hand. Each time you get a royal flush, buy yourself a lottery ticket. A royal flush occurs in one out of every 649,740 hands. If that ticket wins the jackpot, throw a grain of sand into the Grand Canyon. Keep going and when you’ve filled up the canyon with sand, remove one ounce of rock from Mt. Everest. Now empty the canyon and start all over again. When you’ve leveled Mt. Everest, look at the timer, you still have 5.364e67 seconds remaining. Mt. Everest weighs about 357 trillion pounds. You barely made a dent. If you were to repeat this 255 times, you would still be looking at 3.024e64 seconds. The timer would finally reach zero sometime during your 256th attempt.
_Tipi they literally just explained all that lol
The number of times I've switched off lights left on by my wife. This evening.
Things to do when bored in quarantine :
Lmao
LOL
Chuck Norris did it - twice
I had a serious crisis when I realized this. Human conceptions takes place when a single sperm cell gets into the egg. When this happens the covering of the egg hardens to prevent more than one sperm getting into the egg.
In a way that sperm cell was you. At least half you.
When this happens millions and millions of your siblings parish. They lose their chance to ever exist as a human.
I saw a post on IG that said the possible number of cards is rly big lol. And I commented the rough number (I said 10 to the power of 68) and like 5 ppl commented under me that there were only 52 combinations🤦♂️
Sigh lol
Thank you exactly what I was looking for
I absolutely refuse to believe that analogy of walking around the earth billion years for every step
That number is simply how many different shuffled decks of cards can you make. That’s it.
It still blows my mind.
Its so extremely counter intuitive
Just imagine how big 53 factorial is.
It’s 53 times as big.
It`s more than quite likely, it's a certainty.
I'm glad you were born too
Just a hypothetical situation
4:10
Wait....
I will _probably die?_
*This is news to me! WHY HASN'T ANYBODY ALERTED ME OF THIS UNTIL **_NOW?!_*
To calculate the number of years in 52! seconds, we need to convert the large factorial value into seconds and then convert it into years.
There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Additionally, there are 365.25 days in a year on average, accounting for leap years.
First, let's calculate the total number of seconds in 52!:
52! seconds = 52 x 51 x 50 x ... x 3 x 2 x 1 seconds
Now, let's perform the calculations:
52! seconds = 8.0658175 x 10^67 seconds
Next, let's convert this into years:
1 year = 365.25 days x 24 hours x 60 minutes x 60 seconds
To convert seconds into years, we divide the total number of seconds by the number of seconds in a year:
52! years = (8.0658175 x 10^67 seconds) / (365.25 days x 24 hours x 60 minutes x 60 seconds)
Calculating this value gives us approximately:
52! years ≈ 2.556 x 10^50 years
52! seconds is roughly equal to 2.556 x 10^50 years.
That isnt even like "longer than the age of the universe" big thats after all stars have died big. Imagine if your lifespan was that. Eventually a billion years would not even register anymore.
This makes card counting even more impressive
I have a poker buddy that I told that every time he shuffled and dealt a hand, that’s the first time that combination of cards has ever been arranged that way. He didn’t believe me and I had to show him this video. UA-cam: making smart people prove their smart
They're*
@@dawtonpessanha5521 lmao
i think he meant their intelligence when they said ''their smart'' so that is probably a unnecessary correction
@@worlds_worst_tf2_player I*
@@dawtonpessanha5521 That was really funny and original and i am currently laughing a lot. Your joke is something i have totally never seen before.
@@worlds_worst_tf2_player I*
thanks for hacking my brain now imma try to sleep
53!
52!*
this is one of the most mind blowing things i have ever seen. but how do people come up with this kind of visualization? i mean how do they think of something like this like "let's put this number into seconds, and let's walk around the equator making one step every billion years, oh and let's drain the ocean and pile up papers to the sun"...
How many factorials in a DNA sequence? Or a 100-200 long chains of amino acids in our cells? I also like the thought of finding a message in the result. Ie. taking thousands of lines of code that turn on a computer, Vers the same 1000 lines of code in another order that would result in the computer catching on fire.
And that is exactly why molecules to man evolution is insane. With 20 amino acids and they have to be sided left or right that's conservatively 40 factorial. It's beyond chance to get even one viable protein. Much less a combination of different proteins.
I think this is my favorite youtube video lol :) Amazing
just take a deck of cards and shuffle them each second till every arrangement has been done idk whats hard
Damn now imagine 2 decks of cards
💀
Now do a tarot deck with 78 cards
I've been thinking about this subject a lot in recent weeks and have done several of my own calculations.
If you could combine some super computers and they could do virtual shuffles (and eliminate the possibilities of duplicate shuffles) at the rate of 1 quadrillion shuffles per second. Even a quadrillion years from now you would only have done an infinitesimal fraction of 52! shuffles. And the same is true if you bump it up to a quintillion per second for a quintillion years.
Also, from the book "Innumeracy" the author calculates that a sphere 2 trillion miles in diameter would hold about 10^54 grains of sand. I did the calculation myself and the actual number is about 3.6 x 10^54.
52! divided by that number is about 22.4 trillion. Try to imagine 22.4 trillion 2 trillion-mile-wide spheres full of sand and each grain is a possible deck of cards.. (he assumes 15 grains of sand per inch which seems low to me)
The thing that interests me is , if it was impossible to have the same combination happen twice it would be impossible to shuffle a deck of cards
@@danielcooke9974 It's not literally impossible. Just so unlikely that it's practically impossible. Like flipping a coin 225 times and getting heads (or tails) every time. (I chose 225 for a reason but anyway...) hope this helps.
@@HonkIfYouLoveHonking I understand the math I have a sort of abstract way of thinking sometimes
There are about 10^68 combinations of cards but after 10^34 shuffles you will have a 50% probability that you have already produced the same combination of cards twice. You'd have to do close to 10^68 shuffles to get a *specific* combination, but this is a different question to how long you have to shuffle until you get a combination you had previously.
well it's easy then! just do 52! times 10^68 for all the combinations it'll be done in no time
Funny enough, its actually not 50% even though you have attemptrd 50% total times the number of combinations
Once you have tried it 50% total number tries your odds of finally having reached the chance of it happening is actually like 67%
Don't you have to do half of 10*68 shuffles to have a 50 % chance of a repeat? So way more than 10^34. Also doing 10^68 shuffles doesn't guarantee you will get a particular combination ... far from it
@@richardreffy4550no, it is the birthday problem. You need half of 10^68 to have a good chance of hitting a specific predetermined combination (e.g. the initial arrangement) but if you are just looking to hit a combination which you have seen already in the same experiment you only need the square root. Like the birthday problem, you only need 23 people to have 50% chance that two have the same birthday. 23 is close to square root of 365 and for higher numbers it tends to exactly the square root.
@@loopbackish yes that's right, guess I need to brush up on my high school mathematics
1:34 gets good here.
In this example, how often are we thinking a lottery ticket wins?
The chances of obtaining 2,000 proteins serving as enzymes needed for a cell's activity (spontaneous cell development) within an organic soup is 10 followed by 40,000 zeros. Sooooo....
Well if it didn’t happen that way, we wouldn’t be here to even make that statement :/.. so it had to happen
impressive! but not as much if you think that millions of people conduct unrecorded shuffles every day
It’s still pretty huge, if a billion people do a million shuffles each every second, it would still take 1.9*10^35 universe life times to see every shuffle.
@@paysonkeown2960 then i'll trust your math and say impressive again. no buts this time
52 factorial bigger number than the amount of atoms this planet is made of.
Wait till he hears about 53!
How many grains of sand would fill the Grand Canyon? How many ounces of rock are contained in Mount Everest? What are the odds of getting a royal flush? What are the odds of winning the lottery?
Omg I love these Videos!!!
So how did I get stoned and guess the same card I saw behind my eyes twenty three times in a row. that sounds like flawed math or something. we shuffled the deck rookie and did it for a couple minutes and no I don't play cards.
My father in-law: that’s not right. I did it just 3 times last time I played poker.
What the h**.. never heard of factorial before. Nice how its size get explained.
Mind blowing fact: There are more 52 card combination than sub-atomic particles in the observable universe. By quite a lot, actually.
Your unemployed friend on Tuesday
So I don't know if it was a specific canyon or the whole Grand Canyon talked about on the site, but 40 billion cubic meters did not match any other sources for volume of the Grand Canyon. The link on the site does not work. Also a grain of sand is on average less than 1 cubic millimeter so I turned it down to 0.2 cubic millimeters for my math.
I only found from the official NPA site that the Grand Canyon had a volume of 4.17 trillion cubic meters. I did the math using 0.2 cubic millimeters for my sand instead of 1, and came to the conclusion that you would need to level Mt. Everest 78 times and you would be about 90% done with the 79th time.
Idk if this changes anything, I'm writing a speech on this and without a functioning source I had to back it up with my own math. I don't think I'd get away with such a large difference between 4.17 trillion and 40 billion.
Did you take into account the fact that grains of sand don't pack together perfectly like cubes, so when you fill the canyon with sand there is quite a lot of air in there as well ...
Stabil bruddaaa
you need to go to bed bro
We experience this scale of number without really notice it when it comes to thermal equilibrium. Entropy
By the way, this only works if you shuffle an entire deck every single second. So, it would probably take 30 times longer than even this.
When doing the lottery are we taking into account the time we have to wait for it to be drawn. Like if i buy the ticket on Monday. Do i have to wait tll Saturday till i continue dealing cards
Hmm my brain is broken
It's funny, at first, 52! would not seem to be a very large number yet it is...especially when you try to relate it to emptying out an ocean and leveling Mt. Everest a drop at a time😳 as Daffy Duck would say...that's quazy!
What about the possibilities of a DNA sequence forming by chance? That should get the fighting started. Then after that, what are the odds the the right mutations happening as well? Compare those odds with how many seconds the universe has existed and we don't have near enough time.
now do the same with all the Yu-Gi-Oh or Magic: The Gathering cards
no
No.
NO!
N00000000!!!!!!!!
Jesus. You sadist.
Replace the royal flush with all the parts to exodia
Malachi ¯\_( ͡° ͜ʖ ͡°)_/¯ that’s great
About the same amount of atoms as our planet? No
sun? No
Galaxy ? Yep ....insane!
Wait so do I refill the ocean at once with all the water, or just 1 drop at a time as well. Please let me know, I think I have just one shot to do this quest.
catch every pattern of shiny spinda
Wait until he hears about 53
Hello , I am looking for the equation or formula to determine the total number of ways that a random group of cards can be chosen from the deck of 52. I understand the factorial solution for a specific number of cards. My question digs more deeply into the total number of possible 2, 3 ,4 etc. card possibilities that exist from the deck of 52. Utilizing any 3 cards is easy. But there are way more 3 card possible shuffles than 6 when trying to determine how many 3 card possibilities can be extracted from the entire deck. Perhaps the solution is to use factorial from the 52 side. 1 card would be 52. (2 )cards 52 x 51. (3) cards 52x51x50. Thank you for your input and hopeful solution.
even by breaking this down you can’t really wrap your head around the scale. It takes a really good think to realise how big it is. Maybe start by making the person smaller?
Think about the factorial of a Magic the Gathering 100 cards deck!!!
Now think how Magic Arena Squish that number into the order of magnitude of the billions...
The 8/ 67 is an incredibly big number, i dont understand how 52 cards can create it