(a) Let A, B, and C be events in a probability space N. Prove Pr[AUBUC] = Pr[A] + Pr[A° n B] + Pr[A°NB°NC] (b) Let A1, A2, · , An be events, prove ... Pr |U Ak = Pr[A¡] + Pr[AƒN A2] + Pr[AfN A;N Az] + + Pr[AfN .n A–10 An] ... Lk=1

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(a) Let A, B, and C be events in a probability space 2. Prove
Pr[AU BUC] = Pr[A] + Pr[A° n B] + Pr[A° N B° n C]
(b) Let A1, A2, · · , An be events, prove
n
Pr U Ak = Pr[A1] + Pr[Af N A2] + Pr[A¡N A§N As] ++ Pr[AfN ……N Af0 An]
k=1
Transcribed Image Text:(a) Let A, B, and C be events in a probability space 2. Prove Pr[AU BUC] = Pr[A] + Pr[A° n B] + Pr[A° N B° n C] (b) Let A1, A2, · · , An be events, prove n Pr U Ak = Pr[A1] + Pr[Af N A2] + Pr[A¡N A§N As] ++ Pr[AfN ……N Af0 An] k=1
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