flies_simulation


fly_simulation, a Python code which simulates an experiment in which two flies land on a plate of radius 1. By repeating the experiment many times, the average distance between the flies is to be estimated.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

flies_simulation is available in a MATLAB version and a Python version.

Related Data and codes:

brownian_motion_simulation, a Python code which simulates Brownian motion in an M-dimensional region.

chuckaluck_simulation, a Python code which simulates the Chuck-a-Luck gambling game.

duel_simulation, a Python code which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.

fire_simulation, a Python code which simulates a forest fire over a rectangular array of trees, starting at a single random location.

fly_simulation, a Python code which simulates an experiment in which a fly lands on a plate of radius 1. By repeating the experiment many times, the average distance of the fly from the center is to be estimated.

full_deck_simulation, a Python code which simulates a process in which a random card is drawn from a deck of 52, and then replaced, continuing until every card has been seen at least once.

high_card_simulation, a Python code which simulates a situation in which you see the cards in a deck one by one, and must select the one you think is the highest and stop.

percolation_simulation, a Python code which simulates a percolation system. A rectangular region is decomposed into a grid of MxN squares. Each square may be porous or solid. We are interested in a path of porous squares connecting the top and bottom, or the left and right boundaries. The original MATLAB code was written by Ian Cooper.

sir_simulation, a Python code which simulates the spread of a disease through a hospital room of M by N beds, using the SIR (Susceptible/Infected/Recovered) model.

snakes_and_ladders_simulation, a Python code which simulates the game of Snakes and Ladders.

truel_simulation, a Python code which simulates N repetitions of a duel between three players, each of whom has a known firing accuracy.

urn_simulation, a Python code which simulates the experiment of sampling K balls from an urn containing N balls of various colors.

Reference:

  1. Paul Nahin,
    Dueling Idiots and Other Probability Puzzlers,
    Princeton, 2012,
    ISBN: 978-0691155005.

Source Code:


Last revised on 09 August 2022.