If $A$ and $B$ are two events such that $P(A \cup B) \geq \frac{3}{4}$ and $\frac{1}{8} \leq P(A \cap B) \leq \frac{3}{8}$, then which of the following is true?

  • A
    $P(A)+P(B) \leq \frac{11}{8}$
  • B
    $P(A) \cdot P(B) \leq \frac{3}{8}$
  • C
    $P(A)+P(B) \geq \frac{7}{8}$
  • D
    Both $A$ and $C$ are correct

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