The Mathematics of Winning Monopoly

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