Children had to choose one of two urns—each comprising beads of winning and losing colours—from which to draw a winning bead. Three experiments, aimed at diagnosing rules of choice and designed ...

The word 'probability' in ordinary language has two different senses, here called "inductive" and "physical" probability. This paper examines the concept of inductive probability. Attempts to express ...

THE concept of probability has always comprised two ideas: that of frequency in an ensemble and that of reasonable expectation. Suppose it is said that in tossing an unbiased coin the probabilities of ...

The law of large numbers describes how the results of an experiment will get closer to the expected value if a person repeats it a significant number of times and calculates an average. It bears some ...

When studying to become a math teacher, many teachers-in-training are taught to use concrete, real world examples to help illustrate mathematical concepts. New research, published in last week's ...

Observing, gathering knowledge and making predictions are the foundations of the scientific process. The accuracy of our predictions depends on the quality of our present knowledge and accuracy of our ...