Roll it. Is that what you expected? Roll again, and again, ...
Probability is a fairly new mathematical concept. For a long time gamblers were scared to analyse games of chance with mathematics because they thought the results were determined by God, and to meddle in that would be a sin! Therefore, for a long time this area of mathematics remained a mystery. You can build up your own probabilistic intuition by playing games of chance and you can get a good feel for how games of chance will work out in the long run if we carry out lots of experiments. In this experiment you will be rolling a dice and looking at the results.
This activity requires one six-faced dice per student. A computer with the software Excel will be required to simulate many rolls of a dice.
The following worksheet details the experiment Roll 'em
This Dice Simulator will be required for the third part of the experiment. This file is 14Mb and make a little time to download.
To use the above spreadsheet you need to have the Analysis ToolPak loaded. For help with Excel 2007 or later: office.microsoft . For Excel 2003 go toTools -> Add-Ins -> check Analysis Toolpak.
Here is a short video demonstration to show you how the Dice Simulator works
Here follows an outline of what the task is
Predict the outcome of a dice experiment
Carry out the experiment 30 times
Carry out the experiment 60 more times
Use the simulator to carry out the experiment 2000 times
How your results compare for the Theoretical Probability and the Experimental Probability as the number of rolls increases?
Guess My Colour – A practical probability experiment with coloured cubes. This is the first in the series of three experimental probability experiments.
In a Spin – A practical probability experiment with an online virtual spinner. This is the third in the series of three experimental probability experiments.