Answer
P(G_{2}|D) = P(G_{2}∩D) / P(D)
Multiplying and dividing by P(G_{2})
= P(G_{2}∩D).P(G_{2}) / P(D).P(G_{2})
= 0.3 P(G_{2}) / P(D) ( Given P(G_{2}∩D) / P(G_{2}) = 0.3)
= 0.3 x 0.8 / 0.34
= 0.7059
Work Step by Step
As given in answer