Ok,so check this situation out.
We have a one-dimensional box with walls at (-a/2,a/2). We know that the particle is in a state with energy probabilities
P(E1)=1/3, P(E2)=1/3, and P(E3)=1/3 while P(En)=0 for all n not equal to 1,2,3.
The parity is measured ideally and -1 is found. If...