It is vital that a certain document reach its destination within one day. To maximize the chances of on$-$time delivery, two copies of the document are sent using two services, service A and service B$.$ It is known that the probabilities of on$-$time delivery are:

$0\mathrm{.}90$ for service A $($P$($A$)=0\mathrm{.}90)$

$0\mathrm{.}80$ for service B $($P$($B$)=0\mathrm{.}80)$

$0\mathrm{.}75$ for both services being on time $($P$($A and B$)=0\mathrm{.}75)$

$.$ Make a cross$-$tabulation for A and B

Delivery B

Delivery A

On time

Late

On time

$0\mathrm{.}90$

Late

$0\mathrm{.}20$

$1\mathrm{.}00$