If Hillary wins the nomination (in a smokefilled room in Denver), I predict Obama will reject any offer to be Hillary's running mate. He does not like her, does not like her politics of destruction, does not like her politics of self-enrichment, does not like her politics of "its my turn".
Conversely, if Obama wins the Democrats' nomination (which is beginning to look more and more likely after the four blowouts and Hillary canning her campaign manager), I predict Obama will find a Washington outsider or a person who has worked inside the Beltway but has since spent at least a decade outside Washington. My prediction would be Mayor Bill White of Houston.
No one has answered my question.