Unformatted text preview: ∪ B , B ∩ C , A ∩ B c and A ∩ B ∩ C c and compute the corresponding probabilities. 4. Derive P ( A ∪ B ∪ C ) = P ( A ) + P ( B ) + P ( C )P ( AB )P ( BC )P ( AC ) + P ( ABC ) . *Bonus* Generalize to P ( ∪ n i =1 A i ) = X i P ( A i )X i<j P ( A i A j ) + X i<j<k P ( A i A j A k ) ··· + (1) n +1 P ( A 1 ··· A n ) . 5. Derive Boole’s inequality P ( ∪ i A i ) ≤ X i P ( A i ) . 1...
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 Spring '08
 Castro
 Logic, Mutually Exclusive, Probability, Probability theory, Dice, State recognized tribes

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