Probability Density of Particles

The probability density (or probably distribution) is given by taking the square of the absolute value of the wave function. It gives us the likelihood of finding an electron (or some other system) at some given point in space. The question is why do we need to take the square of the absolute value of the wave function? Shouldn't the wave function itself be able to tell us the probability? Although the wave function itself does indeed tell us the probability amplitude of the wave produced, it usually is given by some complex value with imaginary numbers and therefore does not hold any true physically measurable meaning. To rid the wave function of its imaginary numbers, we need to take the square of the absolute value which does in fact produce a measurable and meaningful number.

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