Still, I now see, and agree, that the two-thirds switch rule should apply to even a 1 in 3 scenario. Obviously this puts a twist in the rest of the math. Anyway, I really enjoyed being stumped by this problem, because it made me have to think very critically about the variables and rules involved. Performance A student of science is trained to capitalize on ordered phenomenon. The symbolic codification of knowledge must be learned in the correct manner of the current paradigm in which the science operates.
Symbols map the abstract concepts of an intellectual terrain.
Theodore Roszak, makes the excellent comparison of science to the making of maps. In this case, science can be thought of as the charting of intellectual territory via symbol manipulation. There is an infinite process of outlining the general characteristics of a region, this region being best defined by the contemporary paradigm. Taking a sharpening and leveling approach, new paradigms dominate the ones found wanting in explanation because of inherent anomalies. The revolutionized paradigm slices away superfluous and extraneous structure, and the perspective of the overall picture is shifted.