Probability-wave meaning

A wave whose amplitude at a given region and over a given time interval corresponds to the probability of observing a given particle within that region in that time.
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A quantum state of a particle or system, as characterized by a wave propagating through space, in which the square of the magnitude of the wave at any given point corresponds to the probability of finding the particle at that point. Mathematically, a probability wave is described by the wave function, which is a solution to the wave equation describing the system.
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