Consider a set of electrons with an initial spin state
$$|\psi\rangle=\left[\begin{array}{c}
\sqrt{1 / 2} \
\sqrt{1 / 2}
\end{array}\right]$$
If we send these electrons into an SGx device, what is the probability that a given electron will be determined to have its spin anti aligned with the $+x$ direction?
A) 0
B) $1 / 4$
C) $1 / 2$
D) $\sqrt{1 / 2}$
E) 1

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The Answer of Consider a set of electrons with an initial spin state
$$|\psi\rangle=\left[\begin{array}{c}
\sqrt{1 / 2} \
\sqrt{1 / 2}
\end{array}\right]$$
If we send these electrons into an SGx device, what is the probability that a given electron will be determined to have its spin anti aligned with the $+x$ direction?
A) 0
B) $1 / 4$
C) $1 / 2$
D) $\sqrt{1 / 2}$
E) 1

Consider a Set of Electrons with an Initial Spin State ∣ψ⟩=[1/21/2]|\psi\rangle=\left[\begin{array}{c}\sqrt{1 / 2} \\\sqrt{1 / 2}\end{array}\right]∣ψ⟩=[1/2​1/2​​]

Consider a Set of Electrons with an Initial Spin State $|\psi\rangle=\left[\begin{array}{c}\sqrt{1 / 2} \\\sqrt{1 / 2}\end{array}\right]$