Jomo, you think it is correct, for the original exercise, P(B|A)=(\frac{3}{5}\cdot\frac{2}{4}\cdot\frac{1}{3})=\frac{1}{10} ? It's the only way I can...
You did a great job explaining it as I understand what you are saying perfectly. My biggest concern is that I do not think I could ever have come up...
Oh........I've really misinterpreted that. I thought the question had to be easier that the way I saw it -story of my life-finding something complex...