The Mathematics of Winning Monopoly

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I talk to Hannah Fry and compare our mathematical investigations into playing Monopoly. I’ve put all my probabilities below.
You can buy a signed copy of Hannah's book on Maths Gear:
mathsgear.co.uk/collections/b...
In the UK you can also get it from Waterstones:
www.waterstones.com/book/the-...
There is a Kindle edition on Amazon:
www.amazon.com/Indisputable-E...
You can download all of my monopoly code here:
www.dropbox.com/s/f5xndyafuj2...
Here are Hannah’s plots:
www.dropbox.com/s/sme0ezqsb69...
CORRECTIONS:
- I said the game has “finite money” but Chuck Monster has correctly pointed out that the official Monopoly rules state "It [the bank] never runs out of money; if it runs out of bills, players can use any convenient items as substitutes until the bank gets enough money."
Support my videos on Patreon:
/ standupmaths
Filming by Trunkman Productions
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/
BEHOLD MY NUMBERS!
From 100,000,000 rolls.
00 2.854% - GO
01 2.109% - Old Kent Road/Mediterranean Avenue
02 1.919% - COMMUNITY CHEST
03 2.261% - Whitechapel Road/Baltic Avenue
04 2.404% - Income Tax
05 2.757% - Kings Cross Station/Reading RR
06 2.317% - The Angel Islington/Oriental Avenue
07 1.017% - CHANCE
08 2.308% - Euston Road/Vermont Avenue
09 2.278% - Pentonville Road/Connecticut Avenue
10 6.325% - JAIL
11 2.719% - Pall Mall/St. Charles Place
12 2.61% - Electric Company
13 2.395% - Whitehall/States Avenue
14 2.477% - Northumberland Avenue/Virginia Avenue
15 2.804% - Marylebone Station/Pennsylvania RR
16 2.8% - Bow Street/St. James Place
17 2.62% - COMMUNITY CHEST
18 2.94% - Marlborough Street/Tennessee Avenue
19 3.096% - Vine Street/New York Avenue
20 2.868% - Free Parking
21 2.839% - The Strand/Kentucky Avenue
22 1.212% - CHANCE
23 2.731% - Fleet Street/Indiana Avenue
24 3.197% - Trafalgar Square/Illinois Avenue
25 2.897% - Fenchurch St Station/B&O RR
26 2.719% - Leicester Square/Atlantic Avenue
27 2.689% - Coventry Street/Ventnor Avenue
28 2.821% - Water Works
29 2.601% - Piccadilly/Marvin Gardens
30 0% - GO TO JAIL
31 2.675% - Regent Street/Pacific Avenue
32 2.616% - Oxford Street/North Carolina Avenue
33 1.116% - COMMUNITY CHEST
34 2.494% - Bond Street/Pennsylvania Avenue
35 2.553% - Liverpool Street Station/Short Line
36 2.239% - CHANCE
37 2.085% - Park Lane/Park Place
38 2.086% - Luxury Tax
39 2.552% - Mayfair/Boardwalk

Развлечения

Опубликовано:

7 дек 2016

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Комментарии : 4,9 тыс.

@zevbl8970 6 лет назад

I think I just witnessed two mathematicians go on a date

@realitant 4 года назад

Honestly not far off

@Rotceev 4 года назад

technically you are right.

@Blobby3822 4 года назад

One of them being pregnant.

@thedosiusdreamtwister1546 4 года назад

@@Rotceev They're mathematicians. Technically correct is the ONLY kind of correct! :D

@olivershore4508 4 года назад

It’s like a weird non touching foreplay being observed

@iansullivan9738 5 лет назад

Waaaaaay to circuitous. Get to the point! It's my turn and the family is getting suspicious.

@aknopf8173 5 лет назад

The first rule with monolopy: Study time is _before_ game time. *Rolls eyes annoyingly and starts tellings the one story you find most embarrassing about youself... again*

@jamesfilosa6277 5 лет назад

@Tyler Durden - Isn't locking down the houses kind of like cheating? It's not like you're winning the game in style...

@Rabbit-the-One 5 лет назад

@@jamesfilosa6277 no, it's capitalism.

@FableMythLore 4 года назад

@Tyler Durden the house and money myth, in monopoly the bank can create more houses and money in case of shortage. ie hide all of the other board games so pieces from those dont get used. its actually a home rule too lock maximum number of houses, but not hotels.

@player-ye3hk 4 года назад

@Tyler Durden Maybe you have another rulebook than me, but the only thing you can do while it is another persons turn according to all rulebooks i have here does neither allow you buying houses on other peoples turns, nor does it state that houses go up for auction. But locking up houses helps win nonetheless. I actually controlled a few games trading upgrading one of my streets to hotels against money and/or streets.

@billingsleypiano394 3 года назад

Hannah: how a mathematician does math Matt: How an Engineer does math

@authenticbaguette6673 3 года назад

Lmao

@grooveseeker6269 3 года назад

Im glad im an engineer

@billingsleypiano394 3 года назад

@@grooveseeker6269 Haha same here

@VespaT5 3 года назад

What is a math?

@ronarscorruption 3 года назад

I try to do engineer math, but always end up deciding it's so much more work.

@funguyscienceman 3 года назад

Can we see Matt Parker, Hannah Fry, James Grime and Tom Scott play monopoly together?!

@jackwilliams7193 3 года назад

Holly Krieger too !!

@DerivativeOfJungbluth 3 года назад

This would be so amazing, oh my... And James Veitch would comment on the game! Hehehe

@HedmanHedmanHedman 3 года назад

Or as I call them, Harry, Ron, Hermione and Neville

@Javerni 3 года назад

X Jungbluth I like how you think!

@mdashrafulahmed2820 3 года назад

Hmm

@senseimatt3097 4 года назад

Nerd Flirting: "Stop critiquing my indenting."

@GertvandenBerg 3 года назад

Its python, its bugs...

@isaiahsevere4192 3 года назад

Made dice rolling overly complicated

@robertohayes8386 3 года назад

This whole video was the nerd version of get a room.. I enjoyed it.

@Andy-si1pl 3 года назад

LOL Thats hilarous

@karepanman2770 3 года назад

What a neg

@verdatum 7 лет назад

Yes, that's all well and good, but what's the optimal angle to apply force when I've started to lose and wish to flip the table?

@franzluggin398 7 лет назад

Vertically upwards at the very end of the long side of the table. Gives you optimal leverage. ;)

@stylis666 7 лет назад

verdatum Just don't slide your chair backwards before standing up when someone lands on your street and you pretend to be extatic about it. It takes more energy on the short term, but it saves you from having to sit and wait until you lose.

@franzluggin398 7 лет назад

Don't accuse someone of lying because they have come to a different result than you. The optimal angle to flip something is perpendicular to the line from the point of action to the center of mass. Depending on the table, that could be anywhere from a few centimeters under the middle of the table's top to a few cm off the ground. But generally, 90° is not optimal to just make the table flip: It is, however, a good way to flip the table if you factor in the risk of hurting your fellow players, because the axis of the optimal rotation will go through the two legs most distant to you. A bit more energy investment to give the table a negative x movement (towards you) should be worth it.

@franzluggin398 7 лет назад

Sorry, the line shouldn't connect to the center of mass, but to the axis of rotation mentioned before. So the force applied should be perpendicular to the plane that is spanned by the axis of rotation and the point of attack?

@franzluggin398 7 лет назад

Optimal means nothing more than 'best possible choice'. From a physics standpoint, 'best' is naturally interpreted to mean 'with the lowest energy expense' and that is the question you answered. I took 'best' to mean 'with the least risk of injury', resulting in, ideally, a flip on the spot. I can see that the question follows a pattern of physics-test-like questions (stating information, desired property, being concise) and so it's natural to assume the side-condition is minimizing the energy required. That however is not proof. It's just recognizing a pattern you know from somewhere else. Optimality on its own means nothing, you must state what side-condition to use if you want to be precise. Or what value any given solution has to you (a quality function).

@rickyspanish4951 3 года назад

quarantine day 6,421: youtube asked me to watch 2 mathletes go on a monopoly date. I obliged.

@crystalsheep1434 3 года назад

O youtube

@joelkronqvist6089 3 года назад

Oof, I noticed first after liking that I was apparently number 666😂

@neolulubeats 3 года назад

made me laugh out loud. thank you

@seanleith5312 3 года назад

Talk math with a lady? Yuck!

@matthewcox7985 3 года назад

Upvote for "Mathletes."

@chicken2nite351 3 года назад

There's actually infinite money in Monopoly. From the rulebook: "The Bank never “goes broke.” If the Bank runs out of money, the Banker may issue as much more as may be needed by writing on any ordinary paper."

@Noahtheorigianl 3 года назад

@@rastas_4221 underrated

@neilgerace355 3 года назад

When I was a kid I used a typewriter to print money.

@jacobschiller4486 3 года назад

@@rastas_4221 The only difference in real life is that printing more money leads to inflation. Just ask Venezuela.

@69_pigeons_in_a_trenchcoat 3 года назад

@@jacobschiller4486 or the Weimar Republic

@TheSummersilk 3 года назад

@@69_pigeons_in_a_trenchcoat or the USA in 3 years time

@RoderickEtheria 3 года назад

Isn't the optimum way to play Monopoly to own at least one of each set and then keep going around the board until your opponents get sick of the game?

@AnjaHuebel1 3 года назад

Deathly dull

@TheZeldaEnthusiast 3 года назад

That's hilarious

@lonedonkey101 3 года назад

That is what happens most times I play. I don't think I have made a complete set in years, it is either reach a stalemate or occasionally one person makes a set and the other(s) can't. It has been a very long time since I played and more than one player had a set.

@srangara109 3 года назад

"Monopoly: The Fast-Dealing Property TRADING Game". If you're not trading, you're not playing it right.

@lonedonkey101 3 года назад

@@srangara109 the problem with that is no-one has any possible incentive to trade properties most of the time. If you get a situation where no-one has a set then there may be a time when that makes sense. But if you play with only 2-3 players, it is common for one player to make a set and also hold properties sufficient to block anyone else from making one. That us the way the vast majorities of games I have played have ended.

@juggling8557 4 года назад

purring British accent: "It's just nice to get your hands dirty with a bit of matrix multiplication" Me: take me now.

@nrichj1556 4 года назад

Juggling sx#

@codinginthesaddle5641 3 года назад

Take me hoooooome country roaaaaads. To the place I beloooooong

@kennethsizer6217 3 года назад

100%

@tomerator 3 года назад

Why didn’t you time stamp this

@dominicthompson82 3 года назад

@@tomerator 9:01

@SgtRegg 3 года назад

when two persons lean over a laptop and giggling on a piece of python code then you know NERDS!!!! ;)

@ym10up 3 года назад

Then what does watching two people lean over a laptop and giggling about a piece of Python code make us lot? 😂

@duetopersonalreasonsaaaaaa 2 года назад

@@ym10up nerds by association

@ym10up 2 года назад

@@duetopersonalreasonsaaaaaa Spectating nerds

@jonskowitz 3 года назад

"This is more fun than actually playing Monopoly!" There are few things that aren't...

@BallerDan53 5 лет назад

That eyebrow movement at 1:30 is insane. That's true talent right there!

@michaelprozonic 4 года назад

that’s nerd flirting and it is a secret code…..of course

@gerarddunne956 4 года назад

🤣🤣🤣🤣🤣

@carlbrovsky7500 4 года назад

Thank god someone else noticed

@pagansunite4005 4 года назад

I think it was a twitch more so, but if not that is pretty talented.

@arnaud78 4 года назад

That looked to me more like a nervous twitch... Haha

@effyleven 3 года назад

What beautiful hair! Such a lovely colour. (Her's is nice, too.)

@davidf2244 3 года назад

There's no apostrophe in possessive pronouns, only possessive proper ones. Like names.

@livintolearn7053 3 года назад

lmao

@jimohare2665 3 года назад

@@davidf2244 no one cares

@thechuckster9025 3 года назад

Guys I’ve got some bad news...

@DuringDark 3 года назад

I'm relieved, I feel like every other comment on a Hannah Fry video is thirst^π^π^π

@hyphen8d725 3 года назад

I never thought I would watch the two smart kids in class comparing answers and agreeing so peacefully.

@siriusczech 3 года назад

On my high school (business academy) we were doing this "live" in front of a teacher with my friend; just after finishing the test we met at first row and started comparing results (silently to not interrupt others) and trying to figure out "why do you have these numbers different?"; worked exceptionally well in Accounting and Math. Presented by a mistake after a week when teacher bring back corrected tests is on much lower level then finding your mistakes right after you did everything and has full head of it. And no, this is not a common practice, we were just too "good boys" that we were allowed to take a pencil and underline our mistakes; once or twice a teacher even allowed us to correct ourselves if those were some stupid mistakes in numbers or so. Lovely days ;)

@noalear 3 года назад

I thought this was supposed to be about math, not c h e m i s t r y

@asherrockriver9757 3 года назад

exactly what I was thinking. Matt when's the marriage?!

@condor2279 3 года назад

Matt's a married man you know

@zanido9073 3 года назад

hahaha, was thinking that the whole time

@fredg.sanford634 3 года назад

Lol! Excellent!

@saimohnishmuralidharan5440 3 года назад

hAha tHaTs fUnNy!

@GroovingPict 7 лет назад

"The one with Park in it" or as I like to call it now, the Parker Square... because, you know, it's almost but not quite all the way around.

@HermanVonPetri 7 лет назад

You win this round!

@Gabu_ 7 лет назад

GroovingPict The perfect instance of the joke!

@SomeRandomFellow 7 лет назад

GroovingPict and it seems like a good idea at first but when you look at it it sucks

@TheLadiesDream 7 лет назад

The Parker Square... That was straight SAVAGE.

@acorn1014 7 лет назад

I found the obligatory Parker Square comment.

@wolfelkan8183 6 лет назад

This is all good for theoretical studies, but I think we need to see it play out in practice. Matt Parker vs. Hannah Fry, who wins in Monopoly. Maybe throw in Brady Haran and James Grimes if we want more players.

@jboot111 6 лет назад

Wolf Elkan in an interesting twist, Brady lucks his way into winning against all of them

@demonking86420 6 лет назад

And there has to be a Parker Square

@smoothred9453 5 лет назад

I think between them, hannah is the most diabolical, grimes is the most intelligent, brady is the most simple and lucky, and matt is smart but i feel like he just lives in thepry and simulation and would quite suck

@LongfellowLP 5 лет назад

I feel that Monopoly is a game that rewards being diabolical, so I'm predicting a finish of Hannah > Brady > Grimes > Matt

@PantheraLeo04 4 года назад

Brady and Grey should do an episode just of them playing monopoly together.

@christianrasmussen1 4 года назад

1:31 that eyebrow is visibly excited!

@amosw766 3 года назад

Very cute content

@BruCipHiF 3 года назад

came to the comments looking for anyone else that noticed it aswell. Thank you, good sir!

@christianrasmussen1 3 года назад

@@BruCipHiF :D

@vigilantcosmicpenguin8721 3 года назад

Who wouldn't be excited about all these calculations?

@adam6543 3 года назад

Very pretty aswell 😍

@gabelluc9573 3 года назад

The chemistry here is insane, this is the kind of friendship that I want in my life!

@Reciomane 7 лет назад

quantum monopoly: your boot is in every cell at every time until you put down your drink

@catnai2008 7 лет назад

Best comment haha!

@ballsrgrossnugly 5 лет назад

I would have thought that you could know where your piece was, but not how many moves it was making, or know how many moves it was making, but not where it was?

@Loredannon 7 лет назад

"Ultimately Monopoly is about winning money and crushing your relatives" Hahahahah, best comment of the video

@OneEyedJack01 6 лет назад

Conan would be proud."To crush your enemies, see them driven before you, and to hear the lamentations of their women!"

@sevenaries 3 года назад

TLDR: The properties to buy depend on the number of players in the game 1 Opponent: Light Blue and Orange 2-3 Opponents: Orange and Red 4+ Opponents: Green

@andyl.7713 3 года назад

Thank you!

@wonder_slime5031 3 года назад

So helpful. Thanks!

@SrMrRicardo 3 года назад

Comment I was looking for. Thank you!

@robertbach9376 2 года назад

Really? Light blue and the 100$ lane generally work best for me. Trade high value properties, give opponents monopolies they can't afford and scale up cheap property value quickly

@levi1929 2 года назад

@@robertbach9376 the cheap lane is fine for some early cash, but it’s nearly impossible to bankrupt them there. I feel it’s best to have the light blues or the purples to fund the houses on my more expensive properties

@willerwin3201 4 года назад

Here's how I win in Monopoly: 1. Early game: Buy every property you land on and pay or use get out of jail free cards when you get in jail. 2. As soon as you can, trade with the poorest or least aggressive player in the game such that you both get a monopoly. Yeah, they'll get one too, but they won't improve it much. 3. Get as many houses/hotels as you can afford on that monopoly. If necessary, mortgage non-monopoly properties. 4. Late game: Once you have an improved monopoly, stay in jail as long as possible.

@commonsenseisnt779 4 года назад

That's what works in the real world. It's not like you get a choice of what color properties you land on, and any talk of rates of return or the "best" monopolies to own is just silly. The analysis is cool, but you're playing a silly game, not running a mutual fund or retirement plan. Buy what you can, swap what you can, build as fast as you can, and then get lucky!

@devilmaster73 3 года назад

Actually, never buy hotels. The proper rules of monopoly say there are only 32 houses and 12 hotels in the game, and can be only used at one time. The trick is, if all the houses are being used, no one else can buy them. So a simple scenario: say you've played out and you own monopolies on the three groups that include oriental, st. charles, and st. james... and you've made enough to buy 3 houses on each property. That means 27 houses (9 properties, 3 houses each) are being taken up by you that no one else can buy. There are only 5 houses left for others, and therefore no other person can even buy a hotel. If you have the chance to buy 4 houses, do it, but buying hotels frees up houses for other people, and thats why you don't buy hotels. From there, you will win by simply waiting for the other to roll through the 15 spaces from oriental to free parking... of which you own 9 of those spaces with 3 houses each. Its also the best strategy to try and get the light blue(oriental), pink(st. charles), and tan (st. james) as they cost the least, houses cost less, and give a strong reward. These are the strategies that the professional players and national and world champions (yes they do exist) say is the way to win.

@anthonygarcia5375 3 года назад

@@devilmaster73 I imagine the meta could be different for casual non pro play on account of the second leading player not doing the same thing so it ends up spreading out the buildings anyway

@olafbuddenberg4787 3 года назад

Funny. I just rage-quit and flip the table. :)

@ugahenne 3 года назад

@@devilmaster73 "You are assessed for street repairs" :-)

@thomaswalsh4552 7 лет назад

They're like giggly little kids who learned a cool magic trick. I absolutely love that; math is arguably the greatest mystery of our time, or even all time, and they are having fun deciphering this great secret we have written in front of ourselves. Keep doing what you're doing :)

@WaxxyOne 7 лет назад

14:41 "There's finite houses, finite money..." Incorrect. While the houses and hotels are finite in number, the rules specifically state that if the bank is ever short on cash, substitute using paper or some other marker. The bank cannot run out of money.

@gregnixon1296 4 года назад

"The bank cannot run out of money." And there it is: the proof that money is in itself worthless, given that it can be produced solely on the desire to expand the economy, without reflecting the basis of its value.

@notquiteordinary 4 года назад

@@popcultexpress what dude? No the actual rules state they have finite houses and hotels. Idk why ppl can't understand this game

@wolftreetruck4946 4 года назад

so monopoly banks money count is the same as that of real life

@trixn4285 4 года назад

@@PackinForSuperbowl Except that he did listen and you did not, too.

@mallusaih 4 года назад

Short answer is bank running out of money is very rare, and if happens u cant use paper. If bank rund out of houses/ hotels and multiple people want the last house, it is on auction.

@bmorr 3 года назад

I have never watched such a nerdy, non-comedic video while having such a large smile on my face. The dynamic between them was hilarious!

@B-MC 3 года назад

"You cant rig monopoly, its mostly luck" "Luck is mathematical and we are the gods"

@freakingraze 4 года назад

That joke on millenials buying a house hits deep

@xcvsdxvsx 4 года назад

I'm a millennial that owns a house. Quite a nice one in fact. It can be done.

@dubbleyou248 4 года назад

TreeFiddy Silicon Valley? Gee whiz that’s expensive

@supremelordoftheuniverse5449 3 года назад

xcvsdxvsx me too. Mortgage conditions in Sweden are quite generous

@Schluker 3 года назад

Where I live the cost of a decent flat equals roughly 13 years of average income. So having a family and own a place of your own is a huge struggle for young people. Not to mention the mortgage criteria which are plain nasty.

@cacamilis8477 3 года назад

@@xcvsdxvsx Of course it's possible. Doesn't mean it's likely on average.

@BigDaddyWes 7 лет назад

1:30 watch her eye brow. That's talent.

@benloosen5577 7 лет назад

Finally! I have a talent

@Arrica101 6 лет назад

That just made my day hahaha

@awesomefajitas 6 лет назад

woooooooooooow

@HelgaCavoli 6 лет назад

That's a twich.

@Hordil 6 лет назад

later later parts of this episode can be found at bangb...

@MasterHD 4 года назад

"This is more fun than playing Monopoly" is always true.

@_Baleful 3 года назад

Unfortunately this is just true. After the novelty wears off you realize that the decisions matter very little and it's just gambling for no stakes.

@epauletshark3793 3 года назад

What about risk?

@Eyecosaeder 3 года назад

@@_Baleful than tell me why every game with my best friend ends up me having a good start, him winning the mid game and me winning with a plottwist

@tomr6955 2 года назад

@@Eyecosaeder you answered it yourself if it has the same outcome.

@Eyecosaeder 2 года назад

@@tomr6955 when?

@tobiasgorgen7592 3 года назад

Fun fact, matt was spot on. The original purpose of monopoly was to highlight the aleged falsehoods and pitfalls of Capitalism

@bestcreations4703 2 года назад

Aye, though I’m quite sure that was an intentional reference as his phrasing was a tad on the nose

@yahccs1 2 года назад

So true... Or to see what happens to capitalism when taken to the extreme and left to its own devices. Money rules the world, or the people who own the most think it does. Or to show how the more you have, the more you want, and the more you have to lose! It's a dreadful game despite it being sort of 'fun' - so unfair. I'd rather play Scrabble or the Green game (environmental trivial pursuit). Scrabble can be really unfair too. Someone gets 3 or 4 '50's and the other gets stuck with almost all vowels for half the game and almost all consonants the other half. 2-bag games (with the blanks and Y's in the consonant bag) solve that problem but after hundreds of games I found 2-bag games only total on average 30 or 40 more points than 1-bag games, and are not as varied. OK I admit it, all 'chance' games are unfair, but statistics of many games should even out to roughly an equal number of wins per player unless skill plays a role as significant as chance.

@aguyontheinternet8436 Год назад

More specifically, the benefits of Georgism

@peddersoldchap Год назад

Yeah central planning economy is much better than capitalism as we can see by looking at history...

@SioxerNikita Год назад

@@yahccs1 You are making a wrong assumption here. Monopoly is unfair because the amount of skill to rng is very small. While something like Scrabble, it requires skill, knowledge and language understanding. All RNG games can lead to an unwinnable game for you, but average out like 3 games, and you'll see the better person winning all 3 or maybe 2 of the games. Playing optimally in Monopoly is essentially just buy everything you land on, and... buy everything that gets put on auction... and then wait until you win. There is very little tactics or play there. Even Ludo has more tactics and strategy than Monopoly. You have very little input on how to win. That is how you count how "unfair" a game is. Will a skilled person win over an unskilled person the vast majority of the time... and will a very skilled person beat a skilled person the majority of the time?

@BlobVanDam 7 лет назад

I'm upvoting this before even watching it, because Matt Parker + Hannah Fry is a guaranteed winner in my book.

@thumper8684 7 лет назад

The only way to win at Monopoly is not to play monopoly.

@WyattCarrell 7 лет назад

Thumper 👍

@dozog 7 лет назад

Not true! Most played games have at least one winner. The easiest way "not to lose at Monopoly" is not playing.

@monoludico6166 7 лет назад

Dozo G: No, you're wrong. Speaking about Monopoly, the only way to WIN is not playing it at all (e.g. You'll have won around 6 hours, which you'll may use to play real board games as Puerto Rico or Ticket to Ride).

@dozog 7 лет назад

MONO LÚDICO. Imagine two identical Mayflies, call them "Anthony" and "Betty", with a life expectancy of a full day. Now A decides to enjoy his life flying around sniffing fresh summer air while B decides to go indoor and play a game of monopoly. At the end of their 24 your lives they discuss. A did not win anything by not playing monopoly. The only way for B to have "not lost" her time was not to play games.

@Arancil 7 лет назад

Puerto Rico is my jam.

@austinpatrick2682 4 года назад

Thumbnail should've said "Two people you DON'T want to play Monopoly with" 😂

@silentgrove7670 3 года назад

Two people I would love to play Monopoly with.

@arcarc7229 3 года назад

They are not taking into consideration the most important part. Social skills and the power of persuasion.

@ronarscorruption 3 года назад

The best part of this video is how excited you both are about doing these experiments.

@comichound 5 лет назад

They just explained why I always lost monopoly. I always bought the railroads, utilities, and park place.

@Rg-fp2vg 5 лет назад

comichound same here but now I know the real point of interest.

@maxonmendel5757 5 лет назад

Really?? Lol loser.

@aknopf8173 5 лет назад

I always bought the 2nd set on each side, because I thought I get more value for the same-price houses. Didn't go too well, either. :( But now Math is here so save us! Time to get the sweet, sweet monopoly revenge! :)

@emmahendrick147 5 лет назад

Park place... How about Park(er) Square

@SuperSpruce 5 лет назад

I always seem to land on the railroads early on so I grab 3 or 4 of them before a single monopoly is made, and then eventually lose because of some orange monopoly or something

@Whateverworksism 6 лет назад

No surprise the "Parker" is the least visited square...

@ShabbaDabb 6 лет назад

Whateverworks. Cold blooded

@HelgaCavoli 6 лет назад

Touché

@andrewdias2690 5 лет назад

Ouch, burn. Haha

@anneaunyme 4 года назад

@@HelgaCavoli Coulé

@shambosaha9727 4 года назад

Professor Bohr? Is that you?

@davidc1961utube 3 года назад

I’ve seen neater code written. Said everyone who ever looked at someone else’s code, ever. LOL

@nilen 3 года назад

@rogerwilco99 yes

@AiAiTheMonkey 3 года назад

There's literally no way to write code to please everyone sadly...

@vilkku792 3 года назад

Everyone that has written code has also said that about their own code

@luiswiederhold752 3 года назад

But this code is different, my eyes are literally bleeding

@Svenu2 2 года назад

And especially when mathematicians. And even more so if they write it in python. Spaghetti and abbreviations. Lovely

@richdeering9580 3 года назад

As a kid, my sister taught me that the key to winning monopoly is ALWAYS BE THE BANKER

@KristopherNoronha 3 года назад

but the banker doesn't even play :/ there's no decisions to be made by the banker.

@buca117 3 года назад

@@KristopherNoronha Precisely. Making all the money but doing none of the work, that is a true Charlie Sheen move.

@nedben1602 2 года назад

@@KristopherNoronha huh. We just had one person be banker and abused them if they stole

@mollymauktealeaf 2 года назад

@@KristopherNoronha Since when? The banker is also a player, they just have the added responsibility of dealing with the money

@michaelfay3886 Год назад

@@mollymauktealeaf yes - but I also learnt that either of my older sisters - always the one who was the banker - always won. The endless supply of pilfering 500 notes more than makes up for the onerous obligations of banking. OP refers to this.

@muizzsiddique 7 лет назад

Park Place? Park Lane? Surely you would call it Park(er) Square!

@SuviTuuliAllan 7 лет назад

sauce?

@Sopel997 7 лет назад

thanks, now i need monopoly version with parker square

@Kram1032 7 лет назад

a numberphile and co. stars version!

@jamesryan6307 7 лет назад

It works too, because the Park(er) Square is not quite the best (Boardwalk/Mayfair on their version).

@Drosophilax 7 лет назад

Don't forget Free Parker. :-) (I guess he wouldn't mind getting money put under him) *g*

@opsimathics 7 лет назад

you couldn't give Hannah her own microphone

@jacobgourlay9241 7 лет назад

opsimathics your bad at monopoly

@ShuffleboardJerk 7 лет назад

Jacob Gourlay You're bad at grammar.

@DamianReloaded 6 лет назад

Not just that. He also edited the whole video and left his own voice crackling max decibels at more than twice the volume than hers. That's rude, even if it wasn't on purpose.

@WickedGamerStyle 6 лет назад

Exactly!

@IktaSol 6 лет назад

Damian Reloaded Well he got the footage with the microphone only on him, so the only way to make her voice audible is raising the voice volume, and that affected both of their voices

@loganfong2911 3 года назад

3:50 Actually, the rules say: “CHANCE” AND “COMMUNITY CHEST”… When you land on either of these spaces, take the top card from the deck indicated, follow the instructions and return the card face down to the bottom of the deck. So basically you never shuffle the chance and community chest cards mid-game. Other than that, nice video!

@michaelfay3886 Год назад

House rules s trike again - most players of any game with card decks shuffle after a repeat card is drwan.

@notthere83 3 года назад

Aww, I love how Hannah pays attention to how neat the code is. It's been a long time since I've met some coder who cared about that.

@MrRayne911 7 лет назад

2:02 "I'll show you what I got"... OMG that face I am dying... I wish all women did that face when I wanted to show them math.

@The_Rising_Dragon 7 лет назад

The Heretic +

@ian4683 7 лет назад

The Heretic did you see that lip-biting? she made the look indeed

@MM-qy7si 7 лет назад

pregnant woman are always horny

@queenofyeay 7 лет назад

As a connoisseur of the sultry female lip bite... I can tell you that lip bites are not all created equal. That was not THAT type of lip bite. I can instantly recognize, without hesitation, the right sort (something of a fetish) and have for decades. This was more of perhaps anticipation. Having said this, Hannah is beyond doubt a woman who has in fact bitten her lip the right sort of way in her life. ...she is a very attractive, expressive and alluring woman with an exquisite mind. Lucky are the men who have witnessed a lip bite (of that right sort) from Ms Fry.

@Funkestech 7 лет назад

+MISTERComaToes Ok, for humans, what this MISTER guy said is that she's not horny for him, she's just horny for the math.

@condorboss3339 7 лет назад

"You win by winning money and crushing your relatives". I like her style.

@oz_jones 7 лет назад

What is best in life? "To crush your relatives, to see them driven before you and hear the lamentation of their wallets."

@streak1burntrubber 7 лет назад

I won... sigh... ^jumps in steamroller^ At least I have a lot of fake money now. ;_;

@auxencefromont1989 4 года назад

I was just enjoying christmas eve and here I am training a genetic algoritm

@dubbleyou248 4 года назад

Auxence Fromont capitalism wants to know your location

@luigisgl2639 3 года назад

Best algorithm ever

@nilen 3 года назад

@@luigisgl2639 mario

@StuartFerguson55 3 года назад

When I read this comment I was expecting it to be like 10 hours old, not a year. It's 7am on Christmas morning here now.

@auxencefromont1989 3 года назад

@@StuartFerguson55 merry christmas

@daminox 4 года назад

This is such a great video. Two very smart people talking about a subject they're passionate about (mathematics) and its applications to a common board game. Great stuff.

@jzero4813 4 года назад

Anyone else feel like a third wheel watching this?

@TheBrickagon 3 года назад

Somehow 😂😂

@MonzennCarloMallari Год назад

"Should I be listening to this? I feel like I'm learning a lot but not just about monopoly"

@enfo14 7 лет назад

That reference to Settlers of Catan right at the end. Brilliant!

@standupmaths 7 лет назад

I was hoping a few people would enjoy that.

@Commandelicious 7 лет назад

I'd totally watch a catan let's play of you :D

@RedsBoneStuff 7 лет назад

Me and my brother like to call it the Cettlers of Satan :)

@benevolentworldexploder5395 7 лет назад

+RedsBoneStuff Unfortunately me and my brother used to call Settlers of Catan "one of several games I would just leave halfway through for no reason at all". I could be doing well or just having lots of fun, it doesn't matter. For some reason this is one of two games I just never bother completing, the other being Axis and Allies.

@xkd 3 года назад

I'm here a bit late but for anyone else who was wondering, here are the property names in the US version: Purple/Brown: Old Kent Road -- Mediterranean Avenue Whitechapel Road -- Baltic Avenue Light Blue: The Angel Islington -- Oriental Avenue Euston Road -- Vermont Avenue Pentonville Road -- Connecticut Avenue Magenta: Pall Mall -- St Charles Place Whitehall -- States Avenue Northumberland Avenue -- Virginia Avenue Orange: Bow Street -- St James Place Marlborough Street -- Tennessee Avenue Vine Street -- New York Avenue Red: The Strand -- Kentucky Avenue The Strand Fleet Street -- Indiana Avenue Trafalgar Square -- Illinois Avenue Yellow: Leicester Square -- Atlantic Avenue Coventry Street -- Ventnor Avenue Piccadilly -- Marvin Gardens Green: Regent Street -- Pacific Avenue Oxford Street -- North Carolina Avenue Bond Street -- Pennsylvania Avenue Blue: Park Lane -- Park Place Mayfair -- Boardwalk Railroads: Kings Cross Station -- Reading Railroad Marylebone Station -- Pennsylvania Railroad Fenchurch Street Station -- B & O Railroad Liverpool Street Station -- Short Line Railroad Utilities are the same in both versions.

@MrSonny6155 3 года назад

This is like after the physics exam results come out and everyone is comparing numbers with their friends to find out who's the bigger nerd on which questions.

@jamess.8279 3 года назад

I remember those days. My friends and I would compare our scores and brag about them if we did better than each other... Good times!

@7Ghos 7 лет назад

A good Monopoly game ends in bloodshed, divorce, arson,the cops being called and awkward family christmas dinners and maybe uncle Barry being involved in a hit and run

@ciano5475 7 лет назад

Yea, that's the spirit :D

@gonzalotapia1250 7 лет назад

7Ghos did you mean Uncle Ben?

@robert4445 7 лет назад

This was hilarious to watch. Two people comparing their findings like children comparing candy after trick-or-treating XD I kept hearing "What'd you get for..?" As one peers over to look at the other's results, and then both go "excellent!" or "nice, nice" with giant smiles on their faces. Great video, I'm glad you didn't cut any of those parts out.

@syedhussain4564 3 года назад

I came here to learn how to win at Monopoly but I’m leaving with a degree in Python and Mathematics

@KramerPacer2 3 года назад

funny how i stopped following their mind process after 2 minutes but I keep watching because their nerd-chemistry is beautifully palpable

@xpucm0ca 7 лет назад

Miss Fry is awesome.

@JonSebastianF 7 лет назад

Miss Fri is soon a mother :D

@iafozzac 7 лет назад

Oh that lucky man

@zaphod2342 7 лет назад

She looks similar to Gianna Michaels. Her voice and laugh too :)

@alecclews 7 лет назад

That's Dr Fry to you...

@jgigas9834 7 лет назад

zaphod2342 YEAHHHHHH, I had the same epiphany.

@jackhaehl2033 6 лет назад

I need me a woman who reacts to code like that

@RogerBarraud 5 лет назад

Dunno - I'm pretty sensitive about my indentation... ;-)

@ScribbleDribble 4 года назад

Yes omg

@tesseract2144 4 года назад

@M H Where there is 1 woman for 200 mens ?

@LukeSykpeMan 4 года назад

@@tesseract2144 Not that dramatic, but I can confirm. I did my computer science degree 2014-2018 and we were about 80% dudes.

@zaphodbeeblebrox7524 4 года назад

@@LukeSykpeMan I did mine 2010 and it was 2%

@sundaycomicssection Год назад

I agree with Hannah, it is always nice to have an excuse to do some matrix multiplication.

@albert6157 4 года назад

This video is so wholesome, I'm seeing mathematicians having a good time being themselves. It's like a date which is cute.

@HK-cq6yf 6 лет назад

9:22 Instead of calling it the Park Position, how about calling it the Park(er) Square?

@annapejskova1976 6 лет назад

That's cruel. Also I'm disappointed that not many people got that.

@ShabbaDabb 6 лет назад

Parker Position

@jonavuka 5 лет назад

park property?

@emmahendrick147 5 лет назад

Haha, I am breaking my brain trying to solve it right now

@adub303 3 года назад

I know I'm years late to the party, but when I hit that bit in the video I legit started scanning the comments for exactly this! I knew the Stand-up Maths fans would not disappoint!

@willis936 5 лет назад

lmao the look on Hannah’s face when Matt says “I deliberately skipped your Monopoly chapter because I didn’t want to pollute my research”.

@matteocanducci5822 3 года назад

OMG THIS IS SO COOL! I already wrote that code with Matlab a lot of years ago but I am DEFINITELY gonna buy that book!!

@cerisedistiny8376 3 года назад

I still think I'll just buy everything I land on 😂

@guppythecyclist841 2 года назад

thats the best way to win

@cloudybrains 7 лет назад

How did she do that at 1:31 with her eyebrow!?

@noahlowrie6742 7 лет назад

probably a twitch

@cloudybrains 7 лет назад

That, or she's an alien/robot in human skin.

@tianlechen 7 лет назад

clickhead it's totally unexpected and hilarious

@Jimpozcan 7 лет назад

She's 3/8 pixie.

@hawkeyestiguy 7 лет назад

Lol. I noticed that too! I wondered if anyone else caught it. Haha. I think she likes him. Haha. Jk.

@NoriMori1992 7 лет назад

2:09 - "But I have my spreadsheet of results…" Of course Matt would have a spreadsheet of Monopoly results. XD

@garr_inc 5 лет назад

I mean... We all have spreadsheets of something. After all, everything is a spreadsheet.

@skybeard3113 4 года назад

They seem like two kids in math sharing their answers.

@dedsm 4 года назад

get the monopoly on the houses, that's the most important strategy, always works, and as an extra you stop having friends

@YogiTehBear 5 лет назад

The key to winning at monopoly is being the banker. I could have saved you a lot of time and math.

@kathrynpotts3318 5 лет назад

stealing is still illegal

@ebonyrose8713 4 года назад

@@kathrynpotts3318 only if you get caught.

@snowrulz88888888 4 года назад

@@kathrynpotts3318 Ha tell that to the bankers that caused the last financial collapse and got a bail out.

@codeaddicts 4 года назад

😂😂😂

@pieterprinsloo8767 4 года назад

Just like real life

@cortster12 7 лет назад

So... when's the next date?

@theminecraftwikiman 7 лет назад

right? so cute

@IronWarrior4Ever 7 лет назад

I know right, she gives him the eyebrow nod at 1:32

@baconology 7 лет назад

totally adorable

@TurboSixxSpeed 7 лет назад

wow, that's some serious eyebrowing! I think she gets a bit hot and bothered by a guy who can talk maths.

@Mikeontube 7 лет назад

how about 2:04 :P

@KrazyKyle-ij9vb 3 года назад

Even before watching this video, I knew there was something about them light blues. A tier set right there. Cheap, yet mad rewards.

@PapiJack 4 года назад

Is such a joy watching 2 people geeking out hardcore!

@dielfonelletab8711 7 лет назад

Seems Hannah's audio is slightly too soft relatively.

@maxronaldo00 7 лет назад

Dielfon Elettab she is pregnant

@Sikosm 7 лет назад

maxronaldo00 is it a "thing" that pregnant women talk softly?

@FostersLab 7 лет назад

I believe Matt's audio is a bit loud, sometimes even clipping :)

@BurakBagdatli 7 лет назад

I think Matt's wearing a mic but Hannah isn't. I'm actually finding it very difficult to hear her unless I make Matt too loud.

@Alex24757 7 лет назад

Hannah is wearing a mic. You can see it for example at 16:17 . The cable runs next to a button. I guess he didn't use her audio because most of the time you could only hear her hair dangling around. So he only used his mic's audio.

@mikeandyholloway 7 лет назад

"You haven't got very many comments on your code" Before the utterance of that line I thought I had reached peak Fry-Mania. I was so very, very wrong.

@kressckerl 5 лет назад

Same😅

@frmcf 3 года назад

“This is more fun than playing Monopoly!” True dat

@Marnige 4 года назад

You know what, their discussion really reminds me of when students share their answers after exams.

@MartinDeHill 7 лет назад

2:52 "For some stange reason I listed all 36 results you get when you roll two dice" FREAKIN MATHEMATICIANS

@jcortese3300 7 лет назад

I just love Hannah's cheerful yet matter-of-fact blackheartedness about financially ruining her relatives. :-)

@farpointgamingdirect 2 года назад

"Matt, I suggest a new strategy: let the redhead win..."

@drumguy1384 3 года назад

I'm curious whether or not they took into account the rule that, when you land on an un-owned property, you must buy it or it is auctioned off to the highest bidder. That is a rule that I did not know existed until I was an adult, though I spent much of my childhood playing the game. I'm curious if that would skew the results since it serves to dramatically shorten the game, and thus the number of expected turns per player.

@ashurroth6585 3 года назад

It would change the profit graphs based on purchase price as well. If you got park place for 100 bc everyone thinks it's rubbish then you don't build anything on it you've still generated another income stream at discount.

@michaelfay3886 Год назад

I suspect that even at the highest level of maths, this will be impossible to simulate - far to many factors to include such as level of wealth, need to block another player, inter player personal rivalries..... the list goes on for ever......... In which case, as it is not feasible to simulate nad of course as per previous reply will affect the numbers in BOTH ways - best to assign it zero value.

@drumguy1384 Год назад

@@michaelfay3886 Yeah, its easy enough to say if the property is available and the player has the money then buy, but what happens if they can't afford it and it goes to auction? That is entirely subjective and would likely be very difficult, if not impossible, to program in a realistic way. I mean, you could just simulate a dice roll for what each player is willing to pay as a starting bid and pad it based on what they already own and if it completes or furthers a set, etc. That could be a rough approximation of how an auction would go, but for a simple example like this it may be too much work to be worth it.

@lachlanstewart9314 6 лет назад

Park Lane, Park Place, "Park Position", Park Square... wait on a minute. PARKER SQUARE!

@apadgettski 4 года назад

Hannah: "My research suggests that..." Matt: "THIS IS WHAT I THINK"

@greenwoodorganics4681 3 года назад

He's a terrible listener

@jameshayward3842 3 года назад

He is absolutely awful

@nilen 3 года назад

Matt is a great guy, he gave me his autograph

@benben-sx4xb 3 года назад

Omggg

@gregnixon1296 4 года назад

I am fascinated by the math that drives the contest. Knowing the probabilities of the dice over time mitigates the effect of their momentary unpredictability.

@SomniaStellarum 8 месяцев назад

I’d love to see an updated video of this looking at communopoly!

@Nixitur 7 лет назад

"This is more fun than playing Monopoly!" That's honestly a pretty low bar.

@justinwhite2725 7 лет назад

Nixitur This video was more fun to watch than playing monopoly!!

@smoog 7 лет назад

Nixitur being kicked in the balls is more fun than playing monopoly. indeed, practically anything is more fun than playing monopoly.

@Nillis97 7 лет назад

smoog anything *except monopoly

@greatgamegal7223 7 лет назад

Monopoly is fun

@DaftHacker 7 лет назад

But your watching a video on them explaining everything, that's even lower.

@thechickennuggetoffate9139 4 года назад

9:21 he had to stop himself from almost saying the parker square

@briansammond7801 3 года назад

Yes, I was hoping for the Parker Square to be mentioned!

@thebeardyyc 4 года назад

@5:30 is the best clip! “This is more fun than playing Monopoly” 😂 so true 🤣 Love this video, so cool to see two different approaches being compared.

@Gorvinhagen 8 месяцев назад

5:23 this video is just brilliant. you two make a great duo.

@patientestant 5 лет назад

1:32 that was a feisty eyebrow fiesta!

@TheMrvidfreak 7 лет назад

The square that has a 'park' in its name but isn't even consistently named is truly a Parker Square of a square.

@davidedwards267 2 года назад

As we approach Christmas it’s time to check in with this video and do some revision.

@Baconator1368 4 года назад

The Markov Chains idea to find the steady state distributions of each spot on the board was literally genius...

@lobovutare 4 года назад

Here is a presentation on that carlabernard.ch/beni/downloads/bernard_monopoly.pdf

@sigurdfyllingkarstad2694 7 лет назад

Is there anything called American Monopoly? In that case, can you buy the prison and the justice system and automatically win everything?!

@ciano5475 7 лет назад

HAHAHA :)

@Jimpozcan 7 лет назад

Yes, but you can also buy the media, the FBI, the CIA and Congress. So, that puts a spanner in the works ... or should I say "wrench"?

@jazzx251 7 лет назад

US Monopoly is no fun at all - the whole game is ruined by one Chance card: "Hospital Fees - pay $200000"

@Syncopator 7 лет назад

Time to update the game with a big dose of reality-- rather than people buying properties, you are corporations buying politicians-- it's the American dream...

@doggyrobbie0 7 лет назад

I guess one of the players starts with $0 and one of the players starts with $1,000,000?

@tonymusic720 6 лет назад

My math teacher took away my rubber band shooter today... He said it was a weapon of math disruption.

@ripmeep 5 лет назад

You're stretching it a bit with that joke

@WreckedRectum 5 лет назад

Just.. No. Shame on you.

@risingdawn7955 4 года назад

Come on I’m sure we can band together.

@JustinShaedo 3 года назад

Previous turns, by other players, would influence your probability of landing on a particular square. If a previous player got a chance or community chest card that relocated them, then you can't get that card. The more players before you, the more chances they get that card, the lower your chance. So you'd need a new Markov chain for each number of players.

@notquiteordinary 4 года назад

I've loved Monopoly my whole life, and I've also known that these properties are the best, and have always been the ones I chose. Awesome to see it confirmed here