Like I said above, some lottery companies I know now have a number picking system that chooses the winning numbers, this process has to be as fair as possible to make the ground as leveled as possible for every player.
That's what most people want because it has to be transparent to make it look fair. If we don't know how to pick the winning numbers, then that becomes a question mark for the numbers. Compared to determining unilaterally, the system that is made for taking numbers, must really be trusted to determine the numbers that come out to be assigned to everyone.