Uh, I doubt that's why Obama picked Biden. It's been a long time since VP's were picked to win states or demographics. George W. Bush picked Dick Cheney, making a crucial overture to the people of Wyoming.
...
If that's true, then it makes no sense. Wyoming has voted Republican for president in every election since LBJ, and before that it was still semi-reliable, save for Truman/FDR(3 elections)/Wilson. Wyoming has been strongly Republican for most of it's history, save for very limited Democratic wins here and there.
It's been found that VP's do not bring much to the table except for in
their home state, and
only if they are actually very well-liked in their home state. Even then, the home field advantage is barely noteworthy.
