# The QM Probability of Finding a Particle in Various Regions

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A particle is trapped in an infinite one-dimensional well of width L. If the particle is in the its ground state, evaluate the probability to find the particle:

a) Between x = 0 and x = L/3

b) Between x = L/3 and x = 2L/3

c) Between x = 2L/3 and x = L

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##### Solution Summary

In this solution, we use the known form of a wave-function in the ground state corresponding to a particle confined to an infinite one-dimensional square well to determine the probability of finding the particle in each third of the well.

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