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bayes theorem

we got 5 boxes with white and black balls ,2 boxes have 2 white balls and 3 black, 2 boxes have 1 white and 4 black , 1 box has 4 whites and 1black .From a random extraction the ball turned out to be black find propability that the extracted ball was from the second box

p(h1)=2/5 ,p(h2)=2/5, p(h3)=1/5 ,p(h1)a=3/5,P(h2)a=4/5,p(h3)a=1/5

This is the way its written in the book and professor tought us as its written in the book

Now I know how it goes but I think there might be a problem in the book because p(h2) is not really 2/5 but it should 1/5

am I correct or I have misunderstood all this problem ?

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# Homework Help: Propability: Somebodys mistake !

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