Question $39(2\mathrm{.}5$ points$)$

A product has a component that is prone to failure. As a result, it has two redundant

components. That is$,$ the overall component works if any of the three redundant

components works.

The reliability of the three components are: $0\mathrm{.}87,0\mathrm{.}86,$ and $0\mathrm{.}65.$ What is the

probability that the component will operate?

Round your answer to three decimal points. Enter $0\mathrm{.}010$ as $0\mathrm{.}010$ and not as $1\%.$

Your Answer: