Question 1133552
5/9 chance the second bag will have 3 blue balls and 5 green balls, and the probability of a green draw from that bag is (5/9) for first* (5/8) or 25/72
4/9 chance the second bag will have 2 blue balls and 6 green balls, so probability of green will be (4/9)(6/8)=1/3 (24/72)
The probability overall is the sum or 49/72.  This is between 5/8 and 6/8 as expected.