A and B are two events such that P(A) = $\frac{1}{2}$, P(B) = $\frac{2}{3}$. Then which of the following is not correct?
Answer & explanation
Correct answer: option 4
$P(A \cup B) \geq$ maximum, $\{P(A), P(B)\}=\frac{2}{3}$
$P\left(A \cap B'\right) \leq$ minimum, $\{P(A), P(B)\}=\frac{1}{3}$
$P(A \cap B) \geq$ maximum $\{\{0,1-(P(A)+P(B)))\}=0$
and $P(A \cap B) \leq$ minimum $\{P(A), P(B)\}=\frac{1}{2}$
Thus all the statements are correct.