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]
8 Responses to “Top 5 keyboard shortcuts for Excel Charts”
As far as I remember (checked, again, 2 minutes ago) in my "Excel 2013" in order to select various chart elements I need to use the Arrow keys and not the TAB key.
Practically, the TAB key does nothing (within a Chart).
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Michael (Micky) Avidan
Thanks for pointing this out. This is how I remember it too, but when I was recording the video yesterday, only TAB key worked. MS must have changed the keys in Excel 2016. I have edited the post to include both keys.
The key navigation on charts is different in 2016.
TAB cycles through a layer of objects (SHIFT+TAB cycles backwards)
ENTER move down a layer
ESC moves up a layer
So on a column chart with title/legend/data labels if you select the plotarea the TAB will go through Title > Legend > Plotarea.
ENTER at plotarea will then select Vertical axis. Tab will take you through
Horizontal axis > gridlines > Series > Horizontal Axis.
ENTER with series selected will then allow you to TAB through individual data points and data labels.
If you ENTER on datalabels you can TAB through each data label.
ALT + F1 : to create default chart
ALT+E S T = CTRL + ALT + V, T : I find that easier to remember
I second what Michael already said about TAB and arrow keys. I can't help but think if this is related to the "," or ";" as separator. I prefer to use the chart tools - layout- drop down box, anyway.
Got to be F11 for instant charting. Highlight your data , hit F11 and voila! ?
Ctrl+1 is the most important chart shortcut. In fact, it works for any Excel object: whatever is selected, Ctrl+1 opens the task pane or dialog to format that object.
Somewhere along the line, maybe when Excel 2016 came out, the arrow keys stopped working to cycle through the elements of a chart. But what works is holding Ctrl while clicking the arrow keys. I haven't gotten used to the Tab and other keys, but as long as Ctrl+Arrow works, I'm good.
And F4 used to be so helpful when formatting a lot of charts. But since Excel 2007 came out, it has been mostly useless. It used to remember a whole set of changes at once, so I get that the newer modeless dialogs make that impractical. But now it only seems to work with formatting of lines and borders, and maybe fills. I find myself writing a lot of VBA one-liners in the Immediate Window to handle these tedious formatting tasks.
after clicking on a chart, is there a shortcut key to copy it?
Thank you for the Alt E S T - tip. This is more than a time saver. Because of dynamic charts or de-activated external references to data when you make the charts, you often have empty charts that are otherwise impossible to format. So this shortcut helps adressing that. I will work with it more and see if there remain some obstacles.