There are three boxes. B1, B2, B3 The probability of selecting them is 0.2, 0.2 , 0.6 respectively.

B1 contains 3 red balls and 7 green balls. B2 contains 5 red balls and 5 green balls. B3 contains 2 red balls and 8 green balls.

If we select a box and then a ball from the box what is the probability that the ball is of red color.

If we select the a ball and it turns out to be of green color what is the probability that it comes from B3 ?