Question: P ( UR , Ei ) P (Ut=1Ei) EP(Ei) This is known as Boole's inequality. Hint: Either use P (E CJ F) P (E) -F

P ( UR , Ei )

P (Ut=1Ei) EP(Ei) This is known as Boole's inequality. Hint: Either use P (E CJ F) P (E) -F P(F) P(EF) and mathematical induction, or else show that INI Ei I-JEIFi, where Fl El, Fi Ei nijzll E}, and use thc axioms of probability. 2. The dice game craps is played as follows. The player throws two dice and if the sum is seven or

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