A product has three components. The first two are independent and have reliability of $0\mathrm{.}80$ and $0\mathrm{.}92.$

The third component 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: $0\mathrm{.}78,0\mathrm{.}80,$ and $0\mathrm{.}66.$

What is the overall product reliability?

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