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There are two bags; one bag contains 10 red apples and 25 green apples, and a second bag contains 22 red apples and 15 green

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There are two bags; one bag contains 10 red apples and 25 green apples, and a second bag contains 22 red apples and 15 green apples. An apple is chosen as follows: 0 A bag is first selected by tossing a loaded coin with probability 0.4 of landing heads up. 0 Ifthe coin lands heads up, the first bag is chosen. Otherwise, the second bag is chosen. 0 Then, an apple is picked at random from the chosen bag. (a) What is the probability that the chosen apple is green? (b) If the chosen apple is green, what is the probability that it was picked from the first bag?|

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