Random Walk Calculator

Starting point:
Step probabilities:
Upper target:
Lower target:
Upper boundThese bounds are numbers past which the random walk cannot go. e.g. if it starts at 0 and tries to take a step by 3 upwards, but there's an upper bound at 2, it just goes to 2. Then it can decrease as normal.:
Lower bound:

Probabilities preceded by "~" are approximated by monte carlo simulation and may be inaccurate. Probabilities without a "~" are calculated analytically and are exact to 10 decimal places.Could theoretically have floating point errors if you're inputting very large numbers.

Probability of ever reaching 10: ?

Probability of ever reaching -10: ?

Probability of reaching 10 before -1: ?

Expected steps to reach 10: ?

Expected steps to reach -10: ?

Chart settings:

Max number of walks to display:

random walks with these parameters:

Random Walk Calculator

Outside the Asylum