Answer to Question #238665 in Statistics and Probability for Something nice

Question

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 Rex was the culprit? [