One urn contains 10 red balls and 25 green balls, and a second urn contains 22 red balls and 15 green balls. A ball is chosen as follows: First an urn is selected by tossing a loaded coin with probability 0.4 of landing heads up and probability 0.6 of landing tails up. If the coin lands heads up, the first urn is chosen: otherwise, the second urn is chosen. Then a ball is picked at random from the chosen urn.
a. What is the probability that the chosen ball is green?
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