# Probability of a System

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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