A factory produces two types of widgets: Type A and Type B. The probability of randomly selecting a Type A widget is $\frac{3}{8}$, while the probability of selecting a Type B widget is $\frac{5}{8}$. The factory has a special promotion where 10% of Type A widgets and 20% of Type B widgets are defective. If a widget is chosen at random, what is the probability that it is defective?