I believe it is one delegate or alternate delegate per county outside of Laramie which as one delegate and one alternate.
CASPER, Wyo. - Mitt Romney captured his first win of the Republican presidential race, gaining most of Wyoming's delegates at stake in GOP caucuses on Saturday.
The former Massachusetts governor won seven delegates, former Tennessee Sen. Fred Thompson got two and California Rep. Duncan Hunter won one, meaning no other candidate could beat Romney. Caucuses were still being held to decide all 12 delegates at stake.
Totals so far. - From Wyoming GOP
Delegates From AFP
Alternates: (Same as before listed on Wyoming GOP site)
Standings Overall after 2 elections
3 more undetermined so far
On to New Hampshire for Game 3.