For two events \( \mathrm{A} \) and \( \mathrm{B} \), let \( \mathr...
For two events \( \mathrm{A} \) and \( \mathrm{B} \), let \( \mathrm{P}(\mathrm{A})=\frac{3}{5}, \mathrm{P}(\mathrm{B})=\frac{2}{3} \),
P
W then which of the following is correct?
(1) \( \mathrm{P}\left(\mathrm{A} \cap \mathrm{B}^{\prime}\right) \leq \frac{1}{3} \)
(2) \( \mathrm{P}(\mathrm{A} \cup \mathrm{B}) \geq \frac{2}{3} \)
(3) \( \frac{4}{5} \leq \mathrm{P}(\mathrm{A} \cap \mathrm{B}) \leq \frac{3}{5} \)
(4) \( \frac{2}{5} \leq \mathrm{P}(\mathrm{A} \cup \mathrm{B}) \leq \frac{9}{10} \)
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