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]


















19 Responses to “Free Invoice Template using Excel – Download”
Nice post! Invoicing for the small biz or solo entrepreneur is something I see a lot of interest in. Also there are great templates from http://office.microsoft.com/en-us/templates
This is awesome.
I would need a little more. e.g. say I generate a Inv. # 1 with all the details. Once done I can click a button all the relevant details gets stored in some table. Further, when i generate a new invoice those details gets stored in same table but just below the previous invoice.
Is their a way to do this?
I did create a solution you are looking for, however its wrapped in a larger 'Medical Scheduler' and it uses VBA, But you can Save, Update, Lookup, Email, Print & Apply Payments to the Invoice.
You are welcome to download it here:https://www.dropbox.com/s/2yvo0o2tgq9quhe/Medical_Massage_and_Salon_Application-Free.xlsm
The Invoice Items are created from the Appt. Types & Service Items table.
I would love all feedback from this
Thank you for sharing. I will definitely have a look at it.
Daily dose of Excel held a competition in 2005 for this same topic
It obtained 9 solutions which are shown:
http://dailydoseofexcel.com/archives/2005/10/27/invoice-app-the-results/
[…] http://chandoo.org/wp/2014/03/19/free-invoice-template/?utm_source=feedburner&utm_medium=email&a… […]
How can i removed Dollar Sign, As want to use this in india.
Please reply.
Also if possible then can i use Indian Rupee Sign and how?
Hi Chandoo,
Thanks for sharing this invoice template, Let me tell you this template will definitely help me since I got a process to handle where this invoice piece comes. Just a small doubt, can we store all the invoice details in PRODUCT & SERVICES sheet. So that whenever I select an invoice number from invoice sheet I can take print out and I can share it as well. Can we do that?? Since I will be dealing with this on monthly basis.
It would be great if you can help me with this.
Thanks in advance for your help!
Regards,
Gaurang Mhatre
Hi Chandoo,
I was thinking learning excel is quite tuff task but your blog proved me wrong. You made it very interesting. Thank you. Also the template you have provided for Invoice is very helpful to us.
Thanks thanks thanks.. Very helpful. 🙂
Hi i love the speadsheet but would like to ask how do i get it to add the description into the invoice as well
Hi Randy, I tried to download one of your link "https://www.dropbox.com/s/2yvo0o2tgq9quhe/Medical_Massage_and_Salon_Application-Free.xlsm" However, i found the link unavailable. Can you please help me get the new link or can you please send this VBA file on my Email-ID.
Hello Anuj,
Thanks for alerting me to the broken link. This one should work:
https://www.dropbox.com/s/gz89gshex1ad0ex/Medical_Massage_and_Salon_Application-Free.xlsm?dl=0
Please let me know if you have any questions.
Randy
Thank you so much Buddy. will check and revert you soon.
Hi, is there any chance that this can work with the "Products & Service" sheet outside of the Invoice sheet. I create multiple invoice files for the numerous clients. Updating the product sheet for each of them maybe a task. Hence, I want to create a MASTER FILE from which data can be picked up without having to insert new data in each of the invoice files.
Possible? Or am I asking for the moon 😉
Thank you so much for tutorial.
This example can be reviewed for the example of the advanced invoice that made with excel userform :https://youtu.be/Qr-4of-38DI
Good Day
i love this template may i ask if it could be modified to have the following
when you lookup a item code in the next column to the right it brings up the description then the quantity, unit cost, discount and then total otherwise i love the template
Item Code Description Quantity Unit Cost Discount Total
When creating an Invoice template in Excel are you able to utilize the auto row height and wrap feature when the cell is a merged cell? I need to have a number of cells merged together to allow for enough space to type in the description of work performed (lets say cells A-D are merged in each row) however it seems that I am unable to utilize the auto format feature. To work around this I have to manually increase the row height after each entry. Is there a better solution for this? Thank you!