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?
To find out the probability that chosen ball is green.
One urn contains red balls and green balls and second urn contains red balls and green balls. The probability of choosing the first urn is and the probability of choosing the second urn is .
Let event of choosing the green ball.
event of choosing the blue ball from first bag.
event of choosing the blue ball from second bag.
To find out the probability that chosen ball is green and it came from the first urn.
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