The correct answer is option B)7/16

\(P(A) + P(B) – 2P (A ∩ B) \)

\( = 1/4 P(B) + P(C) – 2P(B ∩C) \)

\( = 1/4 P(A) + P(C) – 2P(A ∩ C) \)

\( = 1/4 P (A ∩ B ∩ C) \)

\( = 1/16 ∩ P(A) + P(B) + P(C) – P(A ∩ B) – P(B ∩C ) – P(A ∩C) + P(A ∩ B ∩ C) \)

\( = {3\over8}+{1\over16}={6\over16}+{1\over16}={7\over16} \)