The public in Wyoming are pretty much Ron Paul kind of voters but since only the party machine gets to vote, it would seem unlikely for Ron to do very well.
They have a pretty odd way of selecting delegates.
http://www.thegreenpapers.com/P08/WY-R.phtml
Saturday 5 January 2008: The County Conventions choose 12 of 14 (pre-penalty 28) of Wyoming delegates to the Republican National Convention. Approximately 980 County precinct committeemen and women are eligible to vote for the National Convention Delegates and Alternates at the County Conventions.
Wyoming has 23 counties that are grouped into 12 Delegate-Districts. In each Delegate-District, except Laramie, counties are paired: one county selects a delegate while the other selects an alternate. The counties swap positions after each Presidential election.
Laramie, the county that cast the most votes of any county for the Republican candidate for Congress in the general election immediately preceding the National Convention (Congressman Barbara L. Cubin in 2006), selects both a Delegate and an Alternate.
The arrangement for 2008 Delegate / Alternate Districts are:
Albany / Natrona
Sweetwater / Carbon
Uinta / Lincoln
Teton / Sublette
Fremont / Park
Hot Springs / Washakie
Sheridan / Big Horn
Campbell / Johnson
Crook / Weston
Converse / Niobrara
Goshen / Platte
Laramie (selects both a delegate and an alternate)
There is no formal system applied in the County Convention to relate the presidential preference of the Convention participants to the choice of either the county's delegates to the State Convention or the delegate(s) to the National Convention the County Convention is helping to choose. The participants at each County Convention alone determine if presidential preference is to be a factor in such choices and, if so, how it is to be applied. All delegates are officially unbound.
State Party by-laws require that, before the County convention votes are taken, each would-be delegate or alternate must inform the convention of which presidential candidate, if any, they would cast their vote for at the national convention unless released from that pledge by the Presidential candidate.
Friday 30 May - Saturday 31 May 2008: The Wyoming State Republican Convention convenes in Cheyenne. The State Convention chooses the remaining 2 (pre-penalty 16) of Wyoming's delegates to the Republican National Convention.
0 (pre-penalty 3) delegates are party leaders: the National Committeeman, the National Committeewoman, and the chairman of the Wyoming's Republican Party. These individuals will attend the convention as unpledged delegates by virtue of their position.
Again, there is no formal system of allocating Wyoming's National Convention delegates to presidential contenders. The delegates to the State Convention alone determine if presidential preference is to be a factor and, if so, how it is to be applied to the choosing of the National Convention delegates. All delegates are officially unbound.
State Party by-laws require that, before the State convention votes are taken, each would-be delegate or alternate (except the 3 Party Leader delegates) must inform the convention of which presidential candidate, if any, they would cast their vote for at the national convention unless released from that pledge by the Presidential candidate.