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Multiple choice
A spin-1/2 particle is in state
∣
ψ
⟩
=
(
3
/
5
)
∣
↑
z
⟩
+
(
4
/
5
)
∣
↓
z
⟩
|\psi\rangle = (3/5)|{\uparrow_z}\rangle + (4/5)|{\downarrow_z}\rangle
∣
ψ
⟩
=
(
3/5
)
∣
↑
z
⟩
+
(
4/5
)
∣
↓
z
⟩
(real amplitudes). When
S
z
S_z
S
z
is measured, what is the probability of the
+
ℏ
/
2
+\hbar/2
+
ℏ/2
(spin-up) outcome?
🔬 try it before you answer
0.48
0.64
0.60
0.36
Check answer