Q2 Let A, B and C be three events with given probabilities where AUB represents events...

  

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Q2 Let A, B and C be three events with given probabilities where AUB represents events occurring together or by themselves (OR) and An B represents the events occurring together (AND): • P(A) = 0.4 • P(B) = 0.7 • P(C) = 0.3 • P(AUB) = 0.8 • P(BOC) = 0.2 • P(Cn (AUB)) = 0.2 Find the probabilities that: 1. (10 points) Exactly two of the events among A, B and C occurs. • P(Bn (AUC)) = 0.4 2. (5 points) None of the events A, B and C occurs. Q2 Let A, B and C be three events with given probabilities where AUB represents events occurring together or by themselves (OR) and An B represents the events occurring together (AND): • P(A) = 0.4 • P(B) = 0.7 • P(C) = 0.3 • P(AUB) = 0.8 • P(BOC) = 0.2 • P(Cn (AUB)) = 0.2 Find the probabilities that: 1. (10 points) Exactly two of the events among A, B and C occurs. • P(Bn (AUC)) = 0.4 2. (5 points) None of the events A, B and C occurs.

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1 To find the probability that exactly two of the events A B and C occur we need to consider the fol... View the full answer