I would explain it, but the Wyoming Game and Fish website already has this question answered under their FAQ's. Here ya be:

Q. Does applying as a party hurt my chances to draw?
A. A party application has exactly the same chance as being drawn for licenses as does an individual. That is...a party application has one chance in the drawing, the same as an individual application. There is also a provision in the drawing to exceed the quota by the number of licenses needed to accomodate the party. For example, if there was only one license remaining on the quota and your party of three was selected, the quota would simply be exceeded by two and all would receive licenses.