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]
20 Responses to “Untrimmable Spaces – Excel Formula”
Hi Chandoo,
First of all, HAPPY NEW YEAR!!! Wish you and your family another fruitful year ahead.
To answer your question: Power Query is the best way to trim. 🙂
Btw, if Power Query is not available, then formula would absolutely do... but did you forget to mention also Char 32?
One more question: Is the trailing minus meant to be a negative number? Maybe only the sender knows... 🙂
Cheers,
I just see your PQ way, it is amazing, I think it is the most simple way.
No idea how it did it?
I know these spaces can be a real pain but these days I advise Excel users to learn and use Flash Fill and that will learn what to do pretty quickly.
Highlight range to be cleaned. Then, in Replace, hold down the Alt key and type 0160. Replace with nothing.
I accomplished this by writing a macro to go through all the possible unprintable characters. Looped through the range.
@Steve
Brute force works just as well, its just slower
I use a different method here. First, I will copy the data from Excel and paste it in a notepad. In Notepad, I will do a Find Blanks (Space " ") and Replace (Empty) with nothing.
Then you can copy the data from Notepad and paste it back to Excel which will be a perfect number as you desire.
But Thanks for the formula. Its probably the 2nd out of 8 tricks as Chandoo mentioned. Waiting for the rest among 8 from other users 🙂
Hi....
You don't always need notepad for that. I use the Find/Replace is Excel works just fine.
I don't understand the x's. Why weren't they removed in the formula? Or are they part of some sort of numeric formatting that I'm not familiar with? I saw how you handled the non-breaking spaces and the dashes, but am confused about what role the x's played in all this.
Thanks!
Hi Andrew ,
The xs have been used solely to demarcate the actual data text ; thus , without the x in place at the end of text , as in :
x 4,124,500.00 x
it would be impossible to know that there are unwanted trailing characters , in this case , after the last 0.
These xs are not part of the original data text , nor are they used in the formulae ; they are put in only so that readers can visualize the individual items of data as they are in practice. Think of them as imaginary delimiters.
Oh, that makes sense! Thank you for the explanation. I had a feeling it was something along those lines.
You can type this character using the Keys Alt+0160.
Very useful to replace this Character using Find and Select resource.
For many years, my jobs have included ETL tasks and I built this macro to help long, long ago. I tweak it every now and again. Many co-workers, past and present, have it wired to a button on their toolbar.
Sub Clean_and_Trim()
'CAUTION: Strips leading zeroes -- do not use on zipcodes, etc.
If Application.Calculation = xlCalculationAutomatic Then
Application.Calculation = xlCalculationManual
Revert = 1
ElseIf Application.Calculation = xlCalculationManual Then
Revert = 0
End If
For Each Cell In Selection
For x = Len(Cell.Value) To 1 Step -1
If Asc(Mid(Cell.Value, x, 1)) = 160 Then
Cell.Replace What:=Chr(160), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
End If
If Asc(Mid(Cell.Value, x, 1)) = 32 Then
Cell.Replace What:=Chr(32), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
End If
Next x
If Cell.Value "" Then
Cell.Value = Application.Clean(Application.Trim(Cell.Value))
End If
Next
If Revert = 1 Then
Application.Calculation = xlCalculationAutomatic
ElseIf Revert = 0 Then
Application.Calculation = xlCalculationManual
End If
End Sub
This is awesome! What if you have several characters you need to have removed? What would be the easiest way as I can imagine there are several ways.?
# - 35
$ - 36
- 62
/ - 47
, - 44
. - 46
" - 34
: - 58
This is typical case of a Fitbit data export to Csv file. Each number has CHAR160 as thousand separator.. how smart Fitbit, thank you 😉
By the way, i prefer to copy the character, and use find and replace.
Sometimes it happens if you copy a table from outlook and paste it in excel. When you apply formula on those cells you will get error. What i use to do is
copy one character that looks like space,
select the entire range,
go to Find and replace,
Paste the copied character in Find option
Leave the replace option unfilled..
click on replace all..
All the errors shall be converted in to proper values..
Process looks lengthier.. but it is one of the simplest method
If Clean, Trim, and Substitute, or Find and Replace does not complete the job, I usually enter a value of 1 in an empty cell. Copy the Value of 1, Highlight the range of text numbers, and Paste Special, Values, Multiply. This site is great!
You can use Dose for Excel Add-In that can quickly clean huge data with one click besides more than +100 new functions and features to add to your Excel to save time and effort.
https://www.zbrainsoft.com
Hi,
I have a problem in excel. The sheet attached herewith.
TABLE CONFIG 2/6
A B C D E F G H
1 WEIGHT1 43,599 WEIGH2 62500 WEIGHT3 77000 WEIGHT4 66,500
2 DEDUCTION1 15,000 DEDUCTION1 15,000 TEMP 0 DEDUCTION2 11,005
3 RESULT 58,599 RESULT-1 77,500 RESULT-2 77,000 RESULT-3 77,505
4 RESULT SUBSTRACT 0 0 0
5 REQUIRED VALUE 77,500 77,000 77,505
Note: 1- RESULT (58599) IS TO BE DEDUCTION EITHER FROM D4 OR F4 OR H4 WHICHEVER IS MOST
LEAST CELL AMONG RESULT-1 OR RESULT-2 OR RESULT 3.
2-HENCE, RESULT VALUE $B$3 IS TO BE PRESENTED ON CELL EITHER D4 OR F4 OR H4 WHICHER IS
MOST LEAST VALUE
3-FORMULA =IF(E8<H8,$B$9,IF(E8<J8,$B$9,IF(H8<J8,$B$9,IF(H8<E8,$B$9,IF(J8<H8,$B$9))))))
CREATED ON CELL D4,F4 & H4 DID NOT WORK.
PLS FOR YOUR HELP.
THANK YOU
@R
Why not ask the question in the Chandoo.org Forums
https://chandoo.org/forum/
You can attach a file there