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Question
If E and E2 are independent evens, write the value of P \[\left( ( E_1 \cup E_2 ) \cap (E \cap E_2 ) \right)\]
Solution
\[P\left( \left( E_1 \cup E_2 \right) \cap \left( \bar{{E_1}} \cap \bar{{E_2}} \right) \right) = P\left( E_1 \cap \left( \bar{{E_1}} \cap \bar{{E_2}} \right) \right) \cup \left( E_2 \cap \left( \bar{{E_1}} \cap \bar{{E_2}} \right) \right)\]
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