
06241633
j
2014a.00805
Shannon, Christine
When the proof is not quite enough.
Math. Spectr. 46, No. 1, 3240 (2013).
2013
Applied Probability Trust (APT) c/o University of Sheffield, School of Mathematics and Statistics (SoMaS), Sheffield
EN
K90
M90
K50
K60
I30
R20
simulation
conditional probability modeling
Summary: This article presents a problem motivated by an experiment in psychology which is a nice application of both the conditional probability and infinite series. Furthermore, it provides an opportunity to use computer simulation first to build intuition about the correct solution to the problem and then to build confidence in the results once the theoretical calculations are complete. The problem is to select a sequence of pairs of color words (with replacement) from a set of four colors in such a way that there would be approximately equal numbers of matching and nonmatching pairs subject to the constraint that successive pairs must be distinct.