For two events A and B, let \({\rm{P}}\left( {\rm{A}} \right) = \frac{1}{2},{\rm{\;P}}\left( {{\rm{A}} \cup {\rm{B}}} \right) = \frac{2}{3}\) and \({\rm{P}}\left( {{\rm{A}} \cap {\rm{B}}} \right) = \frac{1}{6}\). What is the P(A̅ ∩ B) equal to?

1
\(\frac{1}{6}\)
2
\(\frac{1}{4}\)
3
\(\frac{1}{3}\)
4
\(\frac{1}{2}\)

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