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Question 2 A family has two dogs (Rex and Rover) and a cat called Garfield. None...

Question 2

A family has two dogs (Rex and Rover) and a cat called Garfield. None of them is fond of the postman. If they are outside, the probability that Rex, Rover and Garfield will attack the postman are 30%, 40% and 15%, respectively. Only one is outside at time, with probabilities 10%, 20% and 70%, respectively. If the postman is attacked, what is the probability that Garfield was the culprit?

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