Discusses an old and quite surprising musical example that provides good challenges in probability theory ranging from practical routine computations to fundamental and philosophical ones, and extended with the engineering design task of generating random numbers. (ASK)

Points out the high percentage of African-American boys that believe that they can make a living playing professional sports and presents an activity that addresses the probability of a student athlete becoming a professional athlete. (YDS)

Reports on a study in which anchoring probability situations that are conceptually analogous to misconception-prone target probability situations were generated and tested with secondary mathematics students. Reports that a follow up test showed that 65% of the reconstructed knowledge was retained after six months. (Author/MM)

Tackles a tricky problem of probability based on the well-known carnival game Chuck-a-Luck which, at first glance, appears to favor the bettor. Presents an activity in which students correct a common fallacy in probabilistic reasoning and extend play to a gambler's ruin analysis. (Author/ASK)

Objective: To investigate links between girls' violent behavior, pubertal timing, and neighborhood characteristics. Method: A total of 501 Hispanic, black, and white adolescent girls and their parents were interviewed twice over a 3-year period (1995-1998). Violent behavior was assessed using the Self-Report of Offending Scale and pubertal timing…

Purpose: The purpose of this work was to, among frail dually eligible older adults, determine risk factors for the likelihood of using Medicare home health and Medicaid home health services and to, among service users, determine correlates of Medicare home health, Medicaid home health, and Medicaid waiver service expenditures. Design and Methods:…

Recent research suggests that phonotactic probability (the likelihood of occurrence of a sound sequence) and neighborhood density (the number of words phonologically similar to a given word) influence spoken language processing and acquisition across the lifespan in both normal and clinical populations. The majority of research in this area has…

Children's immediate aggressive responding to exposure to marital conflict was examined. Participants were 108 families with 8- to 16-year-old children (53 boys, 55 girls), with diary records of children's reactions to marital conflict in the home completed by 103 mothers (n = 578 records) and 95 fathers (n = 377 records) during a 15-day period.…

Rasch proposed an exact conditional inference approach to testing his model but never implemented it because it involves the calculation of a complicated probability. This paper furthers Rasch's approach by (1) providing an efficient Monte Carlo methodology for accurately approximating the required probability and (2) illustrating the usefulness…

Since the game SET[R] was first introduced to the public in 1993, it has stimulated some interesting studies. While the game itself is rather straightforward, a plethora of decent mathematical questions lies beneath the surface. It is perhaps because the game ties in so closely with such an underlying mathematical term that its implications can be…

Transitions are critical times for both teachers and students. Efficient between-task and within-task transitions can greatly improve academic learning time. The purpose of this article was to review one intervention, high-probability (high-p) task sequences, as a method to promote more effective transitions. High-p sequences involve presenting a…

The presidential election that frequently features the results of political polling is presented. These polls attempt to estimate the popular vote that each candidate would receive as they could predict who would win the elections.

The recognition heuristic is a prime example of a boundedly rational mind tool that rests on an evolved capacity, recognition, and exploits environmental structures. When originally proposed, it was conjectured that no other probabilistic cue reverses the recognition-based inference (D. G. Goldstein & G. Gigerenzer, 2002). More recent studies…

A special but common type of scenario is one in which a company has a promotion that is designed to make the customer purchase more of their product than they otherwise might. Although this can be aimed specifically at children, it really applies to all persons. The basic premise is that the company issues a "set" of different items or…

The author derives the probability that price discrimination improves social welfare, using a simple model of third-degree price discrimination assuming two independent linear demands. The probability that price discrimination raises social welfare increases as the preferences or incomes of consumer groups become more heterogeneous. He derives the…