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Problem 12. Check whether the following probabilities P ( A ) \mathrm{P}(\mathrm{A}) P ( A ) and P ( B ) \mathrm{P}(\mathrm{B}) P ( B ) are consistently defined
(i) P ( A ) = 0.5 , P ( B ) = 0.7 , P ( A ∩ B ) = 0.6 \mathrm{P}(\mathrm{A})=0.5, \mathrm{P}(\mathrm{B})=0.7, \mathrm{P}(\mathrm{A} \cap \mathrm{B})=0.6 P ( A ) = 0.5 , P ( B ) = 0.7 , P ( A ∩ B ) = 0.6
(ii) P ( A ) = 0.5 , P ( B ) = 0.4 , P ( A ∪ B ) = 0.8 \mathrm{P}(\mathrm{A})=0.5, \mathrm{P}(\mathrm{B})=0.4, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=0.8 P ( A ) = 0.5 , P ( B ) = 0.4 , P ( A ∪ B ) = 0.8
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