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# Python code for 1-D random walk.

import random

import numpy as np

import matplotlib.pyplot as plt

prob = [0.05, 0.95]

start = 2

positions = [start]

rr = np.random.random(1000)

downp = rr < prob[0]

upp = rr > prob[1]

for idownp, iupp in zip(downp, upp):

down = idownp and positions[-1] > 1

up = iupp and positions[-1] < 4

positions.append(positions[-1] - down + up)

plt.plot(positions)

plt.show()