A Company Has 2 Machines That Produce Widgets

Multiple Choice

A company has 2 machines that produce widgets.An older machine produces 23% defective widgets,while the new machine produces only 8% defective widgets.In addition,the new machine produces 3 times as many widgets as the older machine does.Given a randomly chosen widget was tested and found to be defective,what is the probability it was produced by the new machine?

A) 0.08
B) 0.15
C) 0.489
D) 0.511