An electronic device in a space satellite consists of two co

An electronic device in a space satellite consists of two components. Component 1 has probability 0.05 of FAILING, and component 2 has probability 0.01 of FAILING. In order for the device to work, at least one of the components must not have failed. Assuming that the components function independently, what is the probability that the device WORKS?

Solution

Pobability that the device works

= 1 - P (Device fails)

P (Device fails) = P( Both components fail)

= 0.05 * 0.01

= 0.0005

Thus,

P(device works) = 1 - 0.0005

= 0.9995

Hope this helps.