“Wyomingites are pretty independent,” Mrs. Dunn said. “We like somebody who speaks like him.”
Obama led rival Sen. Hillary Clinton at 58 percent to 41 percent, with 91 percent of precincts reporting.
The caucus thrust the state, which has only 12 delegates, into the spotlight because the close race between Obama and Clinton means that every delegate counts.
Although Wyoming typically is not a stop for Democrats looking for delegates to clinch the party's presidential nomination, its numbers could make a difference this year because of the delegate deadlock.
With slightly more than 600 delegates left at stake, every remaining contest is crucial to both candidates.