Consider a \(S= \frac{\hbar}{2} \) particle in the state \(| \phi> = \frac{1}{3} \binom{2-i}{2} \) . Probability that measurement finds a value of \(S_x = +\frac{\hbar}{2}\).
1
\(\frac{5}{18} \)
2
\(\frac{17}{18} \)
3
\(\frac{11}{18} \)
4
\(\frac{15}{18} \)