DICE_SIMULATION is a MATLAB program which simulates N games in which M dice are thrown and summed.
The user specifies the number of games (throws of the dice) and the number of dice. The program plots a histogram or bar chart of the number of times each score was attained, an estimated probability chart (simply normalizing the frequencies), as well as the average and variance of the scores.
Of course, for 1 die, we expect the histogram to be roughly uniform, for 2 dice, it should have a pyramidal shape, and for higher numbers of dice, the frequency plot should suggest the normal curve.
dice_simulation ( throws, dice )where
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
DICE_SIMULATION is available in a MATLAB version.
BROWNIAN_MOTION_SIMULATION, a MATLAB program which simulates Brownian motion in an M-dimensional region.
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MD1, a FORTRAN90 program which carries out a simple molecular dynamics simulation;
MD2, a FORTRAN90 program which carries out a simple molecular dynamics simulation;
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RANDOM_WALK_1D_SIMULATION, a MATLAB program which simulates a random walk in a 1-dimensional region.
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RANDOM_WALK_3D_SIMULATION, a MATLAB program which simulates a random walk in a 3-dimensional region.
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THREE_BODY_SIMULATION, a MATLAB program which simulates the behavior of three planets, constrained to lie in a plane, and moving under the influence of gravity, by Walter Gander and Jiri Hrebicek.
TRAFFIC_SIMULATION, a MATLAB program which simulates the cars waiting to get through a traffic light.
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You can go up one level to the MATLAB source codes.