Your Law of total probability function is wrong.
P(w2) =P(w2|w1)+ P(w2|b1) ------WRONG
P(w2) =P(w2|w1)
P(w1)+ P(w2|b1)
P(b1) -----CORRECT
If you are still not getting the answer, then, you need to revise probability.
For 2nd ques of PEB, 2015, go through this link
http://discussion-forum.2150183.n2.nabble.com/ISI-2015-sample-question-Stumped-td7595937.html.
The solution has been removed, but you will still get some idea. This question is very malleable, almost everybody has different answers, and we don't know what is the correct one.
May be Amit sir can give the correct one.