... to win an elected delegate majority.
According to Demconwatch, 22 KY delegates can be confidently assigned to Clinton; 11 to Obama.
This leaves Obama needing 3.5 delegates to clinch an overall elected delegate majority. It also leaves Clinton needing 162.5.
The thing is, though, that there are only 156 elected delegates left to be assigned.
(For television pundits, let me be clear here: 162.5 is a number greater than 156. The number of delegates Clinton needs to win an overall elected delegate majority is now greater than the number of elected delegates available. This means that Clinton cannot win an elected delegate majority. It is impossible. That means "not possible".)
(UPDATE: What's great about this point is that every time Clinton (or Obama, but that point is less fun) gets a new pledged delegate, her number goes up. For instance, the new assignment is now 34-12... which means she now needs 105.24% of the remaining elected delegates.)