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…

Problems involving the relative positions of four soccer teams and possible point allocations for the teams are analyzed. (DT)

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)

Probabilities and strategies for winning at a game of fliiping a penny are analyzed. (DT)

An analysis is made of overall probabilities of juries making the correct decisions when the juries vary in size from two to beyond five. (DT)

The possibility of non-transitivity of preference choices is discussed. One example each from voting and from sports demonstrate some conditions where transitivity does not hold. Suggestions are made for using this type of problem in the classroom. (LS)

Characteristics of the number seven, which relate to many different areas of mathematics, are discussed. (JT)

Nine problem situations involving the use of random numbers are given. Topics include cooking, hunting, bacteria contamination, waiting lines, ransom walks, and branching. In addition to the problem situation, questions are suggested which can be used to extend the investigations. (LS)

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