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 Problem Statement
 A particle can be in two different states given by orthonormal wavefunctions ψ1 and ψ2. If the probability of being in state ψ1 is 1/3, find out normalized wave function for the particle.
 Relevant Equations

ρ(r,t) = ψ(r,t)^2
where ρ= probability
Should I treat ψ_{1} as ψ and ψ _{2} as ψ^{*}?