Think about what you're saying. Suppose two spin 1/2 particles are in a spin singlet state: |psi> = ( |1up> |2down> - |1down> |2up> ) / sqrt(2) where the kets mean up and down along (say) the z axis. You're saying that the outcome for a spin-along-z measurement on particle 2 is already determined by the state |psi>.
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