A machine is made of two parts, gizmos and widgets. the probability that a gizmo is defective is 0.20, and the probability that a widget is defective is .25. if a machine is assembled with one gizmo and one widget, what is the probability that the machine will not have any defective parts?
Given that the probability that: Gizmo is defective is 0.20 widget is defective is 0.25
The probability that: Gizmo is not defective is 1-0.2=0.8 Widget is not defective is 1-0.25=0.75
If the machine is assembled with only one gizmo and one widget, the probability that the will not have any defective part is: P(Widget is not defective)*P(Gizmo is not defective) =0.8*0.75 =0.6