A computer has three main modules that have individual reliabilities of $0\mathrm{.}71,0\mathrm{.}88,$ and $0\mathrm{.}82.$ Because of recent failures, management is now considering adding redundancy. Determine the reliability of the system if$$each module has a backup with a reliability equal to its own and a backup switch with a reliability of $1\mathrm{.}00$