@HeistSociety
I don't even know what a VP actually does, besides act as a spare.
Pretty much the size of it (if you get a chance, give "Veep" a spin with the fantastic Julia Louise Drefuss - it's from the same stable as "The Thick of It").
They have some obscure role in the admin of Congress (I think they are allowed to address Congress, whereas POTUS can't).
However they can be used as a sort of POTUS-lite, to travel the world and meet foreign leaders. Obviously you'd never sent Pence - he'd get lost between his bedroom and the front door. But someone who clearly understands there is a "rest of the world" could be a powerful draw. Both for Biden and for people who might support him.
And while it may be distasteful - albeit realistic - to mention it, Biden is no spring chicken. If POTUS dies in office, it's VP that becomes president.
Age dims the mind now, but I think Reagans choice of George H Bush as running mate in 1984 was to allay fears of those afraid he could die in office and leave the US run by an idiot.
Happy days.
Referring back to "Veep", one of the plots was around a tied US Presidential election. Yes - it can happen.