P(A \( \cap \) B) = \(\frac{1}{3}\) , P(A \( \cup \) B) = \(\frac{5}{6}\) , P(A) = \(\frac{1}{2}\) হলে, P(B) = কত?

A \(\frac{1}{3}\)

B \(\frac{2}{3}\)

C \(\frac{1}{4}\)

D \(\frac{2}{5}\)

Correct Answer: Option B

আমরা জানি,
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ 5/6 = 1/2 + P(B) - 1/3
⇒ P(B) = 5/6 - 1/6
⇒ P(B) = 4/6 = 2/3