Every day, a fisherman can choose to fish at sea, by the river or at a lake. The probabilities that he fishes at sea, by the river and at the lake are , 4/1 , 2/1 and 4/1 respectively. If he goes out to sea to fish, his chances of catching some fish is 80% while his chances of catching some fish at the river and the lake are 40% and 60% respectively. (a) Find the probability that the fisherman catches fish on a randomly chosen day. (2 marks) (b) Find the probability that the fisherman went to the river or catches the fish. (2 marks) (c) Among the fisherman that caught the fishes, find the probability that he/she went to river. (3 marks)

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Every day, a fisherman can choose to fish at sea, by the river or at a lake. The probabilities that he fishes at sea, by the river and at the lake are , 4/1 , 2/1 and 4/1 respectively. If he goes out to sea to fish, his chances...