During his short career, the 6 feet 3 inches (1.91 m) left-hander pitched for the Philadelphia Phillies, New York Mets, and Minnesota Twins.

He attended John Randolph Tucker High School in Henrico County, Virginia and finished his collegiate career at Florida State University (FSU).

Scarce was used as a relief pitcher, enjoying considerable success at the collegiate level, while racking up 30 saves (SV) over the two seasons.

He spent part of the 1971 season with the Peninsula Phillies, in the A+ Carolina League, where he appeared in 20 games, compiling a 3–0 win–loss (W–L) record, and a 1.29 earned run average (ERA).

[3] After a season with a 3–8 record and a 5.01 ERA, Scarce was traded along with Del Unser and John Stearns from the Phillies to the Mets for Tug McGraw, Don Hahn and Dave Schneck at the Winter Meetings on December 3, 1974.

[4] In his only appearance as a Met, on April 11, 1975, Scarce relieved Rick Baldwin in the bottom of the 9th inning against the Pittsburgh Pirates.

Arm problems curtailed his career; they began in 1974 and worsened that fall, when Scarce believes he tore his rotator cuff.