If \( \mathrm{A} \) and \( \mathrm{B} \) are two independent event ...
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If \( \mathrm{A} \) and \( \mathrm{B} \) are two independent event such that
\( \mathrm{P} \) \( \mathrm{P}(\mathrm{A} \cap \mathrm{B})=\frac{1}{10} ; \mathrm{P}(\mathrm{A} \cup \mathrm{B})^{\mathrm{C}}=\frac{2}{5} \) then:
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(1) \( \mathrm{P}(\mathrm{A})=\frac{1}{2} ; \mathrm{P}(\mathrm{B})=\frac{1}{3} \)
(2) \( \mathrm{P}(\mathrm{A})=\frac{1}{5} ; \mathrm{P}(\mathrm{B})=\frac{1}{3} \)
(3) \( \mathrm{P}(\mathrm{A})=\frac{1}{2} ; \mathrm{P}(\mathrm{B})=\frac{1}{5} \)
(4) \( \mathrm{P}(\mathrm{A})=\frac{1}{5} ; \mathrm{P}(\mathrm{B})=\frac{1}{2} \)
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