Probability of a System

Classical Mechanics Level pending

Given below is a normalized wave function

\({psi}(x)\) = \( \frac{2}{\sqrt{10}}{psi}_{1}(x)\)+\( \frac{1}{\sqrt{2}}{psi}_{2}(x)\) +\(\frac{1}{\sqrt{10}}{psi}_{3}(x)\)

Where \({psi}_{1}(x)\) , \({psi}_{2}(x)\) , \({psi}_{3}(x)\) are mutually orthogonal.

Calculate the probability of finding the system in the state of \({psi}_{1}(x)\)

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