(assuming \(|c_j|^2\) is not 0). That is to say, if the measurement outcome is known to be \([m^j]\), then the probability of any property of the particle is precisely that given by assuming the particle is in the state \(\ket{w^j}\), with “state” having its usual meaning: a pre-probability from which the probability distribution for the properties represented by any projective decomposition of its identity can be calculated; see subsection 3.5.