Wyo. Stat. § 22-16-113: Recount deposit; expense of recount.

(a) An affidavit requesting a recount must be accompanied by the following deposit:

(i) If the difference in number of votes cast as calculated pursuant to W.S. 22-16-109(b) is one percent (1%) or greater but less than five percent (5%), five hundred dollars ($500.00);

(ii) If the difference in number of votes cast as calculated pursuant to W.S. 22-16-109(b) is five percent (5%) or greater, three thousand dollars ($3,000.00).

(b) If the recount shows sufficient error to change the result of the election, the county in which the recount is taken shall pay expenses of the recount and the deposit shall be returned. Otherwise the applicant or applicants seeking the recount shall be liable for the actual cost of conducting the recount up to a maximum of the amount deposited under subsection (a) of this section, per county recounted. Every county clerk shall issue a complete accounting of all costs of the recount to the candidate requesting the recount, and shall refund any surplus to the candidate.

(c) If the recount is initiated by the county canvassing board or required by W.S. 22-16-109(b), the cost of the recount shall be paid by the county in which the recount is taken regardless of the result of the recount.