Let, the required probability is P Case:1 If the white ball transferred from bag 1 to 2 then Probability of choosing a black ball from bag 2 P(A)=P( white ball transferred )×P( Ball drawn white ) ⇒P(A)=
4
9
×
5
8
=
5
18
Case:2 If the white ball transferred from bag 1 to 2 then P(B)=
5
9
×
4
8
=
5
18
Hence, the required probability is P=P(A)×P(B) ⇒P=