# octave_simulation

octave_simulation, an Octave code which use simulation to study card games, contests, and other processes which have a random element. Usually, the purpose is to try to predict the average behavior of the system over many trials.

### Related Data and codes:

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

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

clock_solitaire_simulation, an Octave code which simulates the game of clock solitaire. The deck is dealt into 13 piles of 4 cards each. Repeatedly, the top card a pile is removed, and its rank indicates the next pile to consider. Game continues until an empty pile is reached. The game is won if all piles are empty. The quantity of interest is the probability of winning.

coin_simulation, an Octave code which looks at ways of simulating or visualizing the results of many tosses of a fair or biased coin.

craps_simulation, an Octave code which simulates the gambling game of craps, in which a player rolls two dice. On the first roll, the player wins immediately if a 7 or 11 is rolled, and loses immediately if a 2, 3 or 12 is rolled. Otherwise, the sum of the dice on this first roll is called the point. The player now continues to roll the dice, winning if the point is rolled again, and losing if a 7 is rolled.

dice_simulation, an Octave code which simulates N tosses of M dice, making a histogram of the resulting sums.

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

fair_dice_simulation, an Octave code which simulates N tosses of 2 dice, making a histogram of the resulting sums.

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

flies_simulation, an Octave 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.

fly_simulation, an Octave 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, an Octave 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.

gamblers_ruin_simulation, an Octave code which simulates the game of gambler's ruin.

high_card_simulation, an Octave 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.

ising_2d_simulation, an Octave code which carries out a Monte Carlo simulation of an Ising model, a 2D array of positive and negative charges, each of which is likely to flip to be in agreement with neighbors.

jai_alai_simulation, an Octave code which simulates matches of jai alai.

locker_simulation, an Octave code which simulates the locker problem, in which gym users have left their wallets in lockers; someone has scrambled all the lockers, and the gym users need a strategy that maximizes the chance that everyone will find their wallet by searching a limited number of lockers.

monty_hall_simulation, an Octave code which simulates the "Let's Make a Deal" game in which Monty Hall has hidden a prize behind one of several doors, and the user wins the prize if the correct door is selected.

percolation_simulation, an Octave 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 code was written by Ian Cooper.

poisson_simulation, an Octave code which simulates a Poisson process in which events randomly occur with an average waiting time of Lambda.

random_walk_1d_simulation, an Octave code which simulates a random walk in a 1-dimensional region.

random_walk_2d_avoid_simulation, an Octave code which simulates a self-avoiding random walk in a 2-dimensional region.

random_walk_2d_simulation, an Octave code which simulates a random walk in a 2-dimensional region.

random_walk_3d_simulation, an Octave code which simulates a random walk in a 3-dimensional region.

reactor_simulation, an Octave code which is a simple Monte Carlo simulation of the shielding effect of a slab of a certain thickness in front of a neutron source. This was provided as an example with the book 'Numerical Methods and Software'.

roulette_simulation, an Octave code which simulates the spinning of a roulette wheel and the evaluation of certain common roulette bets.

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

snakes_and_ladders_simulation, an Octave code which simulates the game of Snakes and Ladders.

traffic_simulation, an Octave code which simulates the cars waiting to get through a traffic light.

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

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

Last revised on 20 November 2022.