Galton Board Game
This resource consists of a Java applet and expository text. The applet illustrates the Galton board in which a ball falls through a triangular array of pegs. Various combinatorial ideas are illustrated, including combinations, bit strings, and binomial coefficients.
Author(s): No creator set

Fire Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the fire process, an interacting particle system consisting of a rectangular lattice of "trees". At each discrete time unit, each tree is either on green, on fire, or burnt. A tree on fire at a given time can catch neighboring trees on fire at the next time unit. The probabilities of fire spread can be varied.
Author(s): No creator set

Bivariate Uniform Experiment
This resource consists of a Java applet and expository text. The Java applet illustrates the bivariate uniform distribution on three types of regions: a square, a circle, and a triangle. Simulated points from the distribution are shown as dots in a scatterplot.
Author(s): No creator set

Bivariate Normal Experiment
This resource consists of a Java applet and expository text. The applet simulates the bivariate normal distribution. The means are set at 0, but the standard deviations and the correlation can be varied. Simulated points from the distribution are shown as dots in a scatterplot.
Author(s): No creator set

Two-Type Poisson Experiment
This resource consists of a Java applet and expository text. The applet illustrates the arrivals in a Poisson process where each arrival, independently, is one of two types. The time interval, the rate of the process, and the probability that an arrival is type 1 can be varied. The applet illustrates "splitting" a Poisson process.
Author(s): No creator set

Red and Black Game
This resource consists of a Java applet and expository text. The applet allows the student to play the game of red and black, by betting on a sequence of Bernoulli trials until either a target is reached or the player is ruined. The target, initial fortune, and trial win probability can be varied.
Author(s): No creator set

Red and Black Experiment
This resource consists of a Java applet and expository text. The applet simulates the red and black experiment in which a player bets on a sequence of Bernoulli trials until a target fortune is reached or the player is ruined. The initial fortune, target fortune, and trial win probability can be varied, and the user can select either of two basic strategies: timid play or bold play.
Author(s): No creator set

Poisson Experiment
This resource consists of a Java applet and expository text. The applet simulates the arrivals in a Poisson process during a time interval. The length of the interval and the rate of the process can be varied. The applet illustrates the Poisson distribution and a special case of the central limit theorem.
Author(s): No creator set

Gamma Experiment
This resource consists of a Java applet and expository text. The applet simulates the time of the k'th arrival in a Poisson process. The arrival number k and the rate of the Poisson process can be varied. The applet illustrates the gamma distribution and a special case of the central limit theorem.
Author(s): No creator set

Triangle Experiment
This resource consists of a Java applet and expository text. The applet illustrates the triangle experiment: A stick is broken randomly into three parts. The events of interest are that the pieces form an acute triangle, an obtuse triangle, or no triangle.
Author(s): No creator set

Spinner Experiment
This resource consists of a Java applet and expository text. The applet simulates a basic spinner. The number of sectors and the probability of each sector can be specified.
Author(s): No creator set

Roulette Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the standard casino roulette game. The random variables of interest are the winning under various bets.
Author(s): No creator set

Random Walk Experiment
This resource consists of a Java applet and descriptive text. The applet illustrates a random walk on a discrete time interval from 0 to n. The time n and the probability of a step to the right can be varied. The random variables of interest are the final position, the maximum position, and the time of the last zero.
Author(s): No creator set

Problem of Points Experiment
This resource consists of a Java applet and descriptive text. The applet illustrates the problem of points: a coin is tossed until either n heads occurs or m tails occurs. The parameters n, m, and the probability of heads can be varied.
Author(s): No creator set

Poker Experiment
This resource consists of a Java applet and expository text. The applet simulates the basic poker experiment of dealing 5 cards from a standard deck. The random variable of interest is the type of hand.
Author(s): No creator set

Poker Dice Experiment
This resource consists of a Java applet and expository text. The experiment consists of rolling 5 fair dice. The random variable of interest is the type of hand.
Author(s): No creator set

Negative Binomial Experiment
This resource consists of a Java applet and descriptive text. The applet illustrates the number of trials needed to get a specified number of successes in Bernoulli trials, in terms of random points on a discrete timeline. The applet illustrates the negative binomial distribution. The number of successes and the probability of success can be varied.
Author(s): No creator set

Monty Hall Game
This resource consists of a Java applet and expository text. The applet consists of the Monty Hall game: a car is behind one door and goats are behind the other two doors. The player makes an initial choice and the host opens a different door. The player is then given the option of switching to the remaining door. The stochastic behavior of the host can be specified.
Author(s): No creator set

Monty Hall Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the Monty Hall experiment: a car is behind one door, goats are behind the other two doors. The player chooses a door and then the host opens another door. The player is given the option of switching to the remaining door. The stochastic behavior of the host and the probability of the player switching can be specified.
Author(s): No creator set

Matching Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the matching experiment, which consists of a random permutation of the first n positive integers. The random variable of interest is the number of matches (the number of integers in the random permutation that are in their correct positions). The applet illustrates the distribution of the number of matches and the convergence to the Poisson distribution.
Author(s): No creator set