A long day hiking through the Grand Canyon has discombobulated this tourist. Unsure of which way he is randomly stumbling, 1/3 of his steps are towards the edge of the cliff, while 2/3 of his steps are towards safety. From where he stands, one step forward will send him tumbling down. What is the probability that he can escape unharmed?
Note: After using the simulation, try using an applet that performs a hundred, thousands, or even a million runs at once and that allows you to change the probability of stepping toward the edge.
Simulation
Results
| Measurement | Value |
|---|---|
| Wins | |
| Losses |
Trial #
| Measurement | Value |
|---|---|
| Position | |
| Steps Forward | |
| Steps Backward | |
| Total Steps |
Simulation Credits
- Original Java Applet by Nick Exner (7/21/1998)
- Modified by Nick Exner (3/1/2005)
- JavaScript+HTML5 Remake by Nick Exner (10/25/2014)
- Modified by Evan Ramos (2015)
References
- Mosteller, Frederick, Fifty Challenging Problems in Probability with Solutions, New York: Dover Publications, Inc., 1965.
