Urn 1 contains 4 green and 5 yellow marbles. Urn 2 contains 7 green and 4 yellow marbles. An experiment consists of choosing one of two urns at random then drawing a marble from the chosen urn. Urn 1 is more likely to be chosen than Urn 2 with probability 0.63.

What is the probability that a green marble was chosen?What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?