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