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Say there are two spin 1/2 particles, and the system is known to be in a total spin state of Stot=0. An observer comes along and determines the first particle to have a spin component (S1z) of hbar/2. Now say another observer comes along and measures the z component for the second particle (S2z). What is the outcome?

My solution is this: I believe the Stot information is lost when the first observer measures S1z, so that then there is a 50% chance of the second observer measuring hbar/2, and a 50% chance for -hbar/2.

Is this right?

Thanks very much.