1. The problem statement, all variables and given/known data The wavefunction for a particle in one dimension is given by ψ1. Another state the particle may be in is ψ2. A third state the particle could be in is ψ3. Looking at the wavefunctions, ψ3 is ψ1 and ψ2 added together. Is the probability of being in a given interval in ψ3 the same as the separate probabilities for ψ1 and ψ2 for that interval? 2. Relevant equations 3. The attempt at a solution I don't really understand how superposition works. I read something about the ψ's being linear, so a linear combination of ψ1 and ψ2 (ie. ψ3) is still a solution to the Schrodinger equation. Is the superposition state a completely different state still though? I don't get why I am being asked this question. If it's a mixture of the two states, the probabilities would change wouldn't they? I don't see the link here.