Consider a system of three spin-1/2 particles, each having z-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 the z-component of the magnetic moment of the system is −µ?
(c) What is the probability that the spin of particle 1 is up (+) and the spin of particle 2 is down (−)?
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