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Math IA Beating Monopoly with math Aaron Febinn RQ:

What is the best way to beat Monopoly with math

Aim:

What is the best way to beat Monopoly using math

Introduction:

Monopoly is a board game currently published by Hasbro. In the game, players roll two six-sided dice to move around the game board, buying and trading properties, and developing them with houses and hotels. Players collect rent from their opponents, with the goal being to drive them into bankruptcy. Money can also be gained or lost through Chance and Community Chest cards, and tax squares; players can end up in jail, which they cannot move from until they have met one of several conditions. The game has numerous house rules, and hundreds of different editions exist, as well as many spin-offs and related media. Monopoly has become a part of international popular culture, having been licensed locally in more than 103 countries and printed in more than 37 languages.

Monopoly is derived from The Landlord's Game created by Lizzie Magie in the United States in 1903 as a way to demonstrate that an economy which rewards wealth creation is better than one where monopolists work under few constraints, and to promote the economic theories of Henry George—in particular his ideas about taxation.3 It was first published by Parker Brothers in 1935 until that firm was eventually absorbed into Hasbro in 1991. The game is named after the economic concept of monopoly—the domination of a market by a single entity.

Elements:

The dice is the most fundamental element of the game. The graph is showing the probability of where you will land from where you begin the game

On your first roll, you have a very high chance on landing chance, or the other 2 higher-chance-of-landings, the Oriental or Vermont, a 1/10 chance of landing on a Reading Railroad or the Connecticut

Doubles:

But getting doubles that distribution by a lot, because when you get a double, you get to roll again and. If we want find out where someone will end their turn, which helps us to find other possibilities, we need to factor in doubles

Getting a Double

Rolling doubles can be very powerful. Its actually possible to reach the Short Line by getting doubles, but the probability is very low (0.00021%)

Speeding:

Because of this the game has a ‘speeding’ rule where if u get more than 3 doubles u go to jail, since the problem gets harder so the next graph will so show the probability of landing where in your second roll if you land on a space in your first roll

Roll probabilities (If you get doubles)

Tactical Pointer:

Let's say you want to build a few houses and you see your opponent coming up some of your properties. Your opponent most likely roll a seven or a five, six eight or a nine, if your able to, try to build house 5-9 spaces ahead of adversaries

Things that will mess the probability:

They are Chance cards, Community chest and Go To Jail, if you understand how these will affect your chances.

Chance Cards

If you land on a Chance space, you get to draw out 1 of the 16 Chance cards. The chance cards will you 1 if the 5 five things:

• Get-Out-Jail Card (1/16)

• Collect-Money Card (3/16)

• Advance-Somewhere-On-The-Board Card (1/2)

• Pay-Money Card (3/16)

• Or Go-To-Jail card (1/16)

How will these change the possibilities

9/16 of the Chance cards will transport you from the chance place to a different place, the picture will so places where the cards will send you.

44% Chance to stay on the Chance Space

Where you’ll be sent on the board