Ever since we have purchased the Monopoly board game, it has become a weekend ritual for us. Almost every Friday/Saturday night Jo would pull out the board, currency, wooden dice, small houses and deed cards and spread them.
We are in for a surprise after playing the game for few weeks. As kids we thought the game is a GAME, ie random to high extent but fun. But as we develop an eye for the detail, the game does come out to be rather unfair. How else can you explain that one of us is paying rents through their noses to the other one owning reds and oranges and how else can you explain that the one who purchased properties next to GO seldom gets a visitor, including themselves. We started questioning, is monopoly fair? And thats where I set out to find it myself.
For starters, The monopoly board has 40 cells, and every player starts at GO. The moves are decided by sum of the faces on a 2 dice throw. If you get a double you get to throw again.
I have tried to simulate the game using excel. I have observed all the rules like community chest / chance cards, Jail and go to jail. But I have not observed doubles rule for I thought it had little impact on the outcome. I wanted to see if the expected probabilities of each cell (which is 1/40 or 2.5%) are close to the actual probabilities.
When I ran the simulation for 10000 dice throws for 4 players, the absolute difference between expected probabilities of each cell, color group are more or less near to the actual probabilities as you can see in the below charts. (click on them for bigger versions)
The maximum deviation is to the tune of 6% for individual cells and 1.93% for a color group (for there will be cancellations in color groups, as one cell gets more visitors the other would get less)
But that is not we experience when we play the game. We end up landing in Jail or a chance an awful lot of times more than we expect to land there. Thats because, no one ever plays a 10000 throw per person game, not in day to day versions. Its more like 200-400 throws. So when I ran the same experiment for 200 turns for 4 players, the results were more interesting as you can see them below.
As you can see the deviation in the actual probability and expected probability is huge. Some times 60% more for individual cells and 20% for color groups. This I guess explains the reason behind the Monopoly game strategies like buy anything in Orange and Red groups etc.
Obviously one fault of this experiment is if you run it again the actual probabilities are going to change in favor of something else. But almost always far from the expected results.
Write to me just in case you want to play around with my monopoly board game simulation excel sheet, I can mail it. The file is rather huge for upload.
Related links: Monopoly Wiki, Monopoly Fun Facts & Strategies, Similar Monopoly Simulations [1, 2]
23 Responses to “Learn Top 10 Excel Features”
What it looks like if excel without formula?? 🙂
It would be not excel it would just be fancy tables in which you could just use power point. (Chandoo) would Access be an alternative?
Awesome piece of work!!!
Great article.
Chandoo - my biggest interest in the article was the awesome word-graphic at the top - where did you go to get it done into a shape?
@Rich.. thank you. I used http://www.tagxedo.com/ to generate this word cloud. I took all the comments in the original post, pasted them in tagxedo website and set up the shape etc.
Awesome Chandoo.. You need always needs coffee to start up with. BTW , how did u created the Heart Shaped picture filled with High Repetitive text in it .. Please put it on your Next blog ...
Chandoo, good article. I’ve added a link to it from Connexion – our collection of the most useful and interesting spreadsheet-related articles from the web. See http://www.i-nth.com/resources/connexion
Hi,
Just one small question. Where the hell have been I in the past for not discovering this website sooner?
I've lost a job interview recently where even though I had the subject knowledge, I was not upto their mark in Excel.
Thank you for all the free tips, guidance and for creating this forum environment.
[PS: I've just been through the site for the 1st time, and have signed up for the newsletter. You can expect pretty stupid questions from me soon]
Hy Chandoo, you always inspire me with to explore something new in excel. This data structure table is only for excel 2007 or compatible to 2010. I recently installed latest excel version 2013 in my System and experience problems regarding operating according to previous one. I'm waiting your article relates to that excel version.
Thanks
Awesome article Mr. Chandoo and that is a awesome heart shaped pic you created. Great tips as well.
[...] Learn Top 10 Excel Features | Chandoo.org – Learn Microsoft Excel Online. [...]
Chandoo is awesome..
Thanks, i got better, And i always get 90.50 in my grade card but now i get 96.50 i improved because of the tutorials you gave, Thank You Very Much Chandoo Guy.
Hi chandoo, i am intersted in seeing the video or step by step done procedure of analysing the comments and presenting in the data percentage steps. I think this one would be first step in finding out how generally happens data calculation. Thank you.
As well i would like to know how to get that black shape art of your face which i see in chandoo. I am interested in making it for me.
Nice to see the features considered by Excel users to be most useful. It might be a good idea to also analyze StackOverflow Excel questions to see what keywords appear most often.
Here are my top 10 Excel Features (for advanced users):
http://www.analystcave.com/excel-10-top-excel-features/
Thanks a ton for this it totally helped with my homework ????
Very good effort
Thank you for this. Lots of learning in the links you've provided for this septuagenarian.
Pls send me new post
Dude, your humor ? ?
Loved your work.
Hello Sir,
I am Sanjeev Khakre and i from Indore City, India , I am your big follower and i have watch your videos and learnt a lots of excel trick or function and many more . thanks so much for all of your excellent support.
Your excel knowledge is real awesome.
Thanks
Sanjeev
Your work is excellent but pls willing to know more details about the features of microsoft excel
Chandoo Would Access be a better alternative than VB?