Blind Sailor.ipynb

Kernel: Python 3 (system-wide)

import random as rand

# takes a coordinate and returns True if on Jetty, False otherwise
def onTheJetty(LR,UD):
    if (0 <= LR) and (LR <= 20) and (0 <= UD) and (UD <= 50):
        return True

# Runs one simulation of walking to the boat -- returns True if she makes it and false otherwise
def makesIt():
    LR = 10
    UD = 0
    numSteps = 0

    while onTheJetty(LR,UD):
        # step
        r = rand.uniform(0,1)
        if r < 0.6:
            UD = UD + 1
        elif r < 0.8:
            LR = LR - 1
        else:
            LR = LR + 1

        if UD == 50:
            return True # makes it
        numSteps = numSteps + 1
        if numSteps == 10_000:
            return False # dies of thirst

    return False # falls off jetty

nbrOfWalks = int(input('Enter number of walks: '))
numMakesIt = 0
numFails = 0
for _ in range(nbrOfWalks):
    if makesIt():
        numMakesIt = numMakesIt + 1
print(f'makes it : {numMakesIt} out of {nbrOfWalks} ({numMakesIt * 100 /nbrOfWalks}%)')

Enter number of walks: 

makes it : 88432 out of 100000 (88.432%)