If A and B are two events, such that P(A ∪ B) = \(\frac{3}{4}\)P(A ∩ B) = \(\frac{1}{4}\) and P(A̅ ) = \(\frac{2}{3}\).

I: The value of P(B) is \(\frac{2}{3}\)

II: P(A).P(B).P(A̅) = \(\frac{4}{27}\)

Which of the following statement(s) is/are correct?

1
Only I
2
Only II
3
Both I and II
4
None

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