MagTech assembles Blu$-$ray players from four major components arranged as follows:

The components can be purchased from three different vendors, who have supplied the following reliability data:

$($a$)$

Your answer is partially correct.

If MagTech has decided to use only one vendor to supply all four components, which vendor should be selected? $($Round answers to

$4$ decimal places, e$.$g$.2\mathrm{.}7500.)$

Vendor $1$

Vendor $2$

Vendor $3$