A process has three consecutive steps with the following reliabilities:

Step A$-0\mathrm{.}94$ Step B$-0\mathrm{.}94$ Step C $-0\mathrm{.}80$

A back$-$up is added to Step $C.$ What is the resulting reliability for the system? Choose the closest

answer.

$0\mathrm{.}833$

$0\mathrm{.}848$

$0\mathrm{.}706$

$0\mathrm{.}732$

$0\mathrm{.}864$

$0\mathrm{.}718$