A simple probability game was analyzed hierarchically in terms of the strategies that would lead most often to an efficient sequence of plays. A series of experiments showed there was no relationship between the use of first-order strategy and knowledge of the probability content of the game. (Author/GDC)

A sample lacking variance was judged less probable than a variable sample and a sample representing the upper half of the population was judged less likely than one representing both. As range and mean approached an ideal, samples appeared more probable. A hierarchical model of sample cues seems appropriate. (CPT)

The objectives, content, and intent of an undergraduate mathematics course at the University of Northern California. The course focuses on gambling and bets, with the focus of ideas on probability, expected value, computers, and the mathematics of finance. (MP)

This paper draws attention to the frequency meaning of the probability concept and its implications for quantum mechanics. It emphasizes that the very meaning of probability implies the ensemble interpretation of both pure and mixed states. As a result some of the "paradoxical" aspects of quantum mechanics lose their counterintuitive…

Presents evidence supporting the prediction that violations of induced receiver expectations and the intensity of a persuasive message are mediators of resistance to persuasion. Positive and negative violations of expectations are examined in terms of counterarguing. (JMF)

Suggestions are given for teaching function notation, fractional calculations on a calculator, division to relucant learners, and a probability problem. (MK)

Shows how the good-as-new postulate leads to the exponential function, which in turn leads to a complete probabilistic description of the decay of an aggregate of identical excited atoms. (Author/GA)

Shows how to extend Wigner distribution functions, and Weyl correspondence between quantum and classical variables, from the usual kind of canonically conjugate position and momentum operators to the case of an angle and angular momentum operator pair. (Author/GA)

Explains that the quantal state describes a statistical ensemble of similar systems identically prepared, and is not to be identified with any single system. Shows how to determine empirically the general quantum state by calculations involving only the measured mean values of a set of observables called a "Quorum." (Author/GA)

The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

Presents an activity introducing probability and patterns to multigrade students. Uses the storybook "The Thirteen Days of Halloween" to demonstrate numbers, patterns, and probability. (ASK)

Decision theory is a useful method for assessing the effectiveness of the components of a course placement system. The effectiveness of placement tests or other variables in identifying underprepared students is described by the conditional probability of success in a standard course. Estimating the conditional probability of success is discussed.…

Uses a probability tree to predict the most likely wild card team for a National League Championship. (KHR)

Suggests ways for using data from championship tennis as a means for exploring probabilistic models, especially binomial probability. Examples include the probability of winning a service point and the probability of winning a service game using data from tables and graphs. (AIM)

A model is proposed to account for publication bias explicitly using a weight function that describes probability of publication for a particular study in terms of a selection parameter. A Bayesian analysis of this model using Gibbs sampling is conducted, and the model is applied to a published meta-analysis. (SLD)