A process has three consecutive steps with the following reliabilities:

Step A $-0\mathrm{.}91$ Step B $-0\mathrm{.}98$ Step C $-0\mathrm{.}82$

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

$0\mathrm{.}847$

$0\mathrm{.}863$

$0\mathrm{.}701$

$0\mathrm{.}706$

$0\mathrm{.}828$

$0\mathrm{.}732$