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Mathematics, 09.03.2020 19:29 hahahwha

A certain unsavory bar for poker-playing dogs is attended by only two types of dogs: "good dogs" and "bad dogs." For a randomly selected dog in the bar, the probability it’s a good dog is 40%. The probability the dog smokes, given that it’s a bad dog is 70%; the probability it smokes given that it’s a good dog is 25%.

You walk into the bar and observe a dog smoking a pipe. What the probability it is actually a good dog?

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