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:

In the UK you can also get it from Waterstones:

There is a Kindle edition on Amazon:

You can download all of my monopoly code here:

Here are Hannah’s plots:

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.”

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Filming by Trunkman Productions
Music by Howard Carter
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Website:
Maths book:
Nerdy maths toys:

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