If $A$ and $B$ are two events such that $P(A) = \frac{1}{2}$ and $P(B) = \frac{2}{3},$ then
If $A$ and $B$ are two events such that $P(A) = \frac{1}{2}$ and $P(B) = \frac{2}{3},$ then
- A
$P\,(A \cup B) \ge \frac{2}{3}$
- B
$\frac{1}{6} \le P(A \cap B) \le \frac{1}{2}$
- C
$\frac{1}{6} \le P(A' \cap B) \le \frac{1}{2}$
- D
All of the above
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