Simulating Dice throws – the correct way to do it in excel

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dice-throws-excel-simulating - correctlyIf you ever had to simulate random outcomes in excel sheet, you might have already heard of about the spreadsheet function rand(), this little function generates a random fraction between 0 and 1 whenever you use it. So I usually write =round(rand()*12,0)int(rand()*12)+1 if I need a random number between 0 to 12. Of course, if you have analysis tool pack installed like I do, then we can use randbetween(0,12) to do the same.

In order to simulate a dice throw, thus you can use round(rand()*5,0)int(rand()*6)+1.

So, what would you do if you need to simulate the face total when you throw 2 dice?

round(rand()*10,0)int(rand()*11)+2 ?

Wrong

Why? Apparently a random number between 2 and 12 (1 is not possible as the minimum you can get when you throw two dice is 2) doesn’t simulate 2 dice throws properly.

The CORRECT way to do this is instead generate 2 individual random numbers and add them up, like:

round(rand()*5,0)int(rand()*6) + 1 + round(rand()*5,0)int(rand()*6) + 1

Here is why this is correct way to simulate dice throws using random number generator functions:

I have ran these 2 random functions each for 2500 times and plotted the distribution:

excel-simulate-dice-throw-distribution

As you can see, the left plot of int(rand()*11)+2 tells that each of the 11 possibilities (2,3,4,5,6,7,8,9,10,11) are equally likely. But that is not what happens when you throw a dice, you see an awful lot more 5,6,7,8 than you see a perfect 12 or 2. And there is a reason for that, the distribution of 2 dice throws is actually a bell curve, and when you use int(rand()*6) + int(rand()*6) + 2 the distribution is bell curvish.

Update: Thanks to Jon for pointing out that round() is not the choice if you want random integers, you should use int instead. See his explanation in the comments and the illustration here.

I have used this logic to simulate monopoly board game and prove that it is not really that random.

More on games: Bingo / Housie ticket generator excel sheet

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8 Responses to “Top 5 keyboard shortcuts for Excel Charts”

  1. Michael (Micky) Avidan says:

    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).
    ----------------------------
    Michael (Micky) Avidan

    • Chandoo says:

      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.

      • Andy Pope says:

        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.

  2. GraH says:

    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.

  3. Mike W says:

    Got to be F11 for instant charting. Highlight your data , hit F11 and voila! ?

  4. Jon Peltier says:

    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.

  5. Shelia Hollis says:

    after clicking on a chart, is there a shortcut key to copy it?

  6. 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.

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