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.