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He is currently at 1,720 with 2024 to nominate and the following primaries coming up: Guam, Indiana, North Carolina, West Virginia, Kentucky, Oregon, Puerto Rico, Montana, South Dakota.
I'll try to be conservative but lets look at how the delegates may split:
Guam (4) I'll make 2-2 between Obama and Hillary Indiana (72) Let's say it's very close and I'll split them 38-34 for Obama (if she wins reverse it) North Carolina (115) If Obama wins by twenty or more I'll give him 68-47 for Obama West Virginia (28) probably a Clinton stronghold. She may come out 18-10 for Clinton Kentucky (51) Another Clinton stronghold. Let's give her 31-20. Oregon (52) This is seen as a Obama state. Polls give him double digit lead. Let's say he takes delegation 32-20. Puerto Rico (55) The most recent poll gave Hill a 15-pt lead, so I'll give her 33-22 delegate edge. Montana (16) Near states like Colorado, Wyoming and Idaho where Obama has dominated, I think Obama comes out with a 10-6 delegate edge. South Dakota (15) Recent statewide poll indicates Obama with a double digit lead in another state in a region where Obama has dominated. Lets give him a 9-6 delegate edge.
So in the final nine contests I give Obama an edge in delegates won 211-197. This would edge Obama's total delegates up to 1,931 and at the end of the day of the final primary in early June he would then need only 93 Super Delegates to clinch the nomination. Hillary, currently at 1,593 delegates adding another 197 delegates or so from the final nine contests would be up to 1,790 would need 234 Super Delegates to clinch the nomination for her.
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