A kitchen appliance has 16 working parts each of which has 0

A kitchen appliance has 16 working parts, each of which has 0.99 probability of lasting through the product\'s warranty period. The parts operate indeoendently, but if one or more malfunctions, the appliance will not work. What is the probability that a randomly selected appliance will work satisfactorily throughout the warranty period?

Solution

The appliance will only work if ALL 16 PARTS WILL WORK.

Thus,

P(appliance will work) = 0.99^16

= 0.851457771 [ANSWER]