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Consider a system of three spin-1/2 particles, each havingz-component of magnetic moment equal to±µ. If there is no external magnetic field (B= 0), all spin states are of the same energy and are equally accessible.

(a) Write down all possible spin configurations of the three.

(b) What is the probability that thez-component of the magnetic moment of the system is -µ?

c) What is the probability that the spin of particle 1 is up (+)andthe spin of particle 2 is down (-)?

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