A one-dimensional harmonic oscillator is in the state $$\psi \left( x \right) = \frac{1}{{\sqrt {14} }}\left[ {3{\psi _0}\left( x \right) - 2{\psi _1}\left( x \right) + {\psi _2}\left( x \right)} \right],$$        where, $${\psi _0}\left( x \right),\,{\psi _1}\left( x \right)$$   and $${\psi _2}\left( x \right)$$  are the ground, first excited and second excited states, respectively. The probability of finding the oscillator in the ground state is