Arbet began his professional career in 2000 with
Ehitustööriist of the
Korvpalli Meistriliiga (KML). In 2002, Arbet signed with the Estonian champions
Kalev. In 2003, he won his first Estonian Championship, after
Kalev defeated
TTÜ/A. Le Coq in the finals. In 2004, he joined
DJK Würzburg. In 2005, the club resigned from the
Basketball Bundesliga and stopped competing. Arbet returned to Estonia and joined
Dalkia/Nybit. Dalkia/Nybit finished the
2005–06 season in third place and Arbet was named to the
All-KML Team. In 2006, Arbet signed for Kalev (former Ehitustööriist). With Kalev, Arbet won his second Estonian Championship in the
2008–09 season, when Kalev defeated
University of Tartu 4 games to 2 in the finals. He won two more Estonian Championship in
2011 and
2012 and was named to the All-KML Team in both seasons. On 14 January 2013, Arbet left Kalev to join
Kavala of the
Greek Basket League. Kavala finished the
2012–13 season last, in 14th place, while Arbet averaged 10.7 points, 3.4 rebounds and 1.3 assists per game. On 26 September 2013, Arbet signed for
Rethymno Aegean. He left the club in January 2014 and returned to Kalev. Arbet won his fifth Estonian Championship in the
2013–14 season, after Kalev swept University of Tartu in the finals, and was named
KML Best Defender. Kalev failed to defend the title in the
2014–15 season and finished as runners-ups. At the conclusion of the season, Arbet was named to the All-KML Team. He won his sixth Estonian Championship in the
2015–16 season, after Kalev defeated University of Tartu in the finals, winning the series 4 games to 1 and was once again named to the All-KML Team. In the
2015–16 VTB United League season, Arbet averaged 10.4 points, 3.4 rebounds and 1.5 assists per game and was named
VTB United League Top Estonian Player. ==National team career==