The Mathematics of Winning Monopoly

2016-12-08

[public] 2.66M views, 62.0K likes, 1.56K dislikes audio only

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:

https://mathsgear.co.uk/collections/books/products/signed-copy-of-the-indisputable-existence-of-santa-claus

In the UK you can also get it from Waterstones:

https://www.waterstones.com/book/the-indisputable-existence-of-santa-claus/dr-hannah-fry/dr-hannah-fry/9780857524607

There is a Kindle edition on Amazon:

https://www.amazon.com/Indisputable-Existence-Santa-Claus-ebook/dp/B01G96DPWS?_encoding=UTF8&tag=stanupmath-20

You can download all of my monopoly code here:

https://www.dropbox.com/s/f5xndyafuj2cmpn/monopoly-v1.py?dl=0

Here are Hannah’s plots:

https://www.dropbox.com/s/sme0ezqsb69yg7k/Hannah-monopoly-plots.pdf?dl=0

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:

https://www.patreon.com/standupmaths

Filming by Trunkman Productions

Music by Howard Carter

Design by Simon Wright

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

Maths book: http://makeanddo4D.com/

Nerdy maths toys: http://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