This article will describe two activities in which students conduct experiments with random numbers so they can see that having at least one repeated birthday in a group of 40 is not unusual. The first empirical approach was conducted by author Cauto in a secondary school methods course. The second empirical approach was used by author Flores with…

The author of this paper submits the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory…

How probabilities change when playing the game of craps with dice having 8, 12, or 20 faces is discussed. Five challenge questions are also included. (MNS)

Three computer programs are listed for finding binomial probabilities. Other applications and variations are 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)

Details of an 18-lesson unit of instruction that has been used successfully with eighth-, ninth-, and tenth-grade classes are presented. Each lesson centers around individual computer programs written in Applesoft BASIC. Copies of two programs are provided, and ways to acquire the other 16 are noted. (MP)

Included in this section are brief articles on making up a story to explain a graph, the inverse of a function of a single variable, and exotic horse-race wagering and combinatorics. (MNS)

The game of Yahtzee is discussed in terms of the various outcomes of turns in the game and their point values and the probabilities associated with achieving specific combinations of dice values. Several tables and methods of table construction are noted, and several challenge exercises are included. (MP)

This article explores an application of combinations, geometric series, and elementary probability that arises in a Biblical setting. Describes examples of the applications such as the use of "urim and thummin." (YP)

The lesson described first involved tossing a pair of dice and recording on a graph the sum produced on each roll. Pupils examined questions such as which sum occurred most often. The second part involved a graph that indicated which types of sums were most likely to occur. (Author/MP)

The game of Yahtzee is analyzed to some extent through methods of elementary probability. Several different problems are posed, and these serve to illustrate both mathematical concerns and game play strategy. Solutions are provided to all questions at the conclusion and suggestions for further questions are presented. (MP)

Included in this probability board game are the requirements, the rules, the board, and 44 sample questions. This game can be used as a probability unit review for practice on basic skills and algorithms, such as computing compound probability and using Pascal's triangle to solve binomial probability problems. (JJK)

Geometrical probability deals with probability on infinite sample spaces where each outcome of an experiment is equally likely to occur. Geometry which identifies sample space regions and event subregions leads to a method of finding a desired probability. A collection of problems with solutions is presented. (MP)

Activities for calculating experimental and theoretical probabilities are presented. Worksheets designed for duplication for classroom use are provided. Suggestions are given for additional problems that could be generated from the original simulation, and answers to questions on the worksheets are included. The activities simulate parachute…