Discussed are the use of probability simulations in a mathematics classroom. Computer simulations using regular dice and special dice are described. Sample programs used to generate 100 rolls of a pair of dice in BASIC and Logo languages are provided. (YP)

"Gedankensimulation" is a term adapted from Einstein's "thought experiments" to indicate mentally created simulations that can help conceptualize ideas. Presents seven examples of simulations that can be utilized to solve problems or illustrate concepts in probability and statistics. Problem contexts include games of chance,…

The evolution of a computer program that plays a game involving dice is described. The overall strategy was improved by introducing skill levels. (MP)

The computer is used to simulate repetitions of games used in teaching expected value. Details of the games and the computer programs are given. (MP)

One way in which a computer simulation can convince students of the validity of formulas for the density and distributive functions of the sum of two variables is described. Four computer program listings are included. (MNS)

An exercise simulating the tossing of N dice is described. Calculation of expected gain and extension to a two-person game are each discussed. (MNS)

The problem deals with calculating the probability that two or more students in a given class have the same birthday. A sample of an experiment that can be carried out by hand in a class is first noted. A program written in BASIC and a sample run is then presented. (MP)

Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)

Investigates the problem of finding the expected number of questions necessary to identify 1 out of a set of 30 attribute blocks. Solutions include the use of a tree diagram or a computer simulation. Generalizes the problem for increased numbers of attributes. (MDH)

The game of roulette is analyzed. (SD)

Developed are simple recursion formulas for generating the exact distribution of the longest run of heads, both for a fair coin and for a biased coin. Discusses the applications of runs-related phenomena such as molecular biology, Markov chains, geometric variables, and random variables. (YP)

A self-teaching module on queues, dealing with the use of random numbers in the simulation of realistic queueing or waiting-line situations, is described. Both mathematical content and teaching methods are considered. (MNS)

A computer program is presented which simulates the classical probability machine, using Applesoft II high-resolution graphics. Many variables are left to the user's choosing. Suggestions for using the machine, understanding the problem, the mathematical model, and further program documentation are given. (MNS)

Discusses ways to simulate a probability problem of interest to middle school students in which students calculate the average number of packets of trading cards purchased to obtain a complete set of cards. Simulations utilize a spinner, a table of random numbers, and a computer. Includes the BASIC program utilized in the simulation. (MDH)

Mathematical modelling activities related to everyday situations (e.g., traffic lights) can be used to develop probability concepts. (SD)