8. (a) Given two events A andB such that P(4)-글. P(anB)= and P(4/B)-를 Find P(B) and P(AUB) (ii) Determine whether or not A and B are either independent or mutually exclusive. (i) (b) A man can travel...

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Answer 10

Extracted text: 8. (a) Given two events A andB such that P(4)-글. P(anB)= and P(4/B)-를 Find P(B) and P(AUB) (ii) Determine whether or not A and B are either independent or mutually exclusive. (i) (b) A man can travel either by land, by air or by sea. The probabilities that he travels by land, by air or by sea are 2 and respectively. The probability that he reaches safely when traveling by land, by air or by sea are 12 3 and respectively. The man embarks on a journey. Using a tree diagram. or otherwise, find the probability 4 2 that: (i) He arrives safely. (ii) He travels by air or arrives safely. (iii) He travels by land given that he arrives safely.