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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