Using numpy array

[AVerzier]

Uses numpy v1.17+ random array generator
And python 3.6+ f-strings ...

[AustinTSchaffer]

This adds the project's first 3rd party library, but does not add a setup.py, nor does it add a requirements.txt. Also, it forces the original author to upgrade their default python interpreter to Python 3.6+ when the original code is written in 2.7, probably due to familiarity and the fact that it was just "pub code". I agree that all new Python code should be Python 3 compliant, but this seems a little too presumptuous.

[achampion]

If you are going to use a 3rd party library you might as well use pandas:

In [1]:
from __future__ import print_function
from __future__ import division

import pandas as pd
import random

def cross_river(dist):
    leaps = 0
    while dist > 0:
        dist -= random.randrange(dist)+1
        leaps += 1
    return leaps

def frog_simulation(final_dist=100, max=6):
    trials = 10**max
    results = {}
    for dist in range(1, final_dist+1):
        result[dist] = sum(cross_river(dist) for _ in range(trials)) / trials

    return results

s = pd.Series(frog_simulation(10, 6))
s.plot()
print(s)

Out[1]:
1     1.000000
2     1.499309
3     1.833457
4     2.083143
5     2.282706
6     2.451438
7     2.593378
8     2.717028
9     2.827266
10    2.929268
dtype: float64

[AVerzier]

You're both right
That's the first time I ever submit a pull request, and I didn't think about all of this ...
I just wanted to give my solution to the problem

I didn't know pandas library, but the code looks cleary nicer :)

[AustinTSchaffer]

Don't sweat it, that's why PRs have an associated discussion thread.

[pcholt]

PRs in commercial software can be utterly brutal - this is all very mild.

I'm happy to add some output command line parameters, for csv output formatting to import into a spreadsheet for graphing