HandsOn 12 - Random Walk in 2-Dimensions

For the following activity you will need:

• a checkerboard and one checker,

• two copies of the grid in Figure 3.8, and

• a 4-sided die (or use a regular 6-sided die and throw again when the result is a 5 or 6).

Place a checker in the center of a checkerboard. Flip a four sided die labeled north, south, east and west and move the "ant'' accordingly. After 10 steps, mark on a copy of the checkerboard the final position of the random walker. Start again from the center and repeat the same 10-step procedure ten times.
                        

Q3.41: Measure the distance from the origin for each random walker after 10 steps and take the average of all the distances. If several groups are doing the same activity, average your averages. What is your result? Compute the square of the distance from the origin for all walkers and take the average. What is your result?

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