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The Mathematics of Winning Monopoly

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Stand-up Maths

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/b...

In the UK you can also get it from Waterstones:
https://www.waterstones.com/book/the...

There is a Kindle edition on Amazon:
https://www.amazon.com/IndisputableE...

You can download all of my monopoly code here:
https://www.dropbox.com/s/f5xndyafuj2...

Here are Hannah’s plots:
https://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: Standup 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

posted by 4cluvq