Hancock was recruited to attend George Mason University by George Mason Patriots men's basketballcoachJim Larrañaga. He played for George Mason in his freshman and sophomore years. While at George Mason, he averaged 7.7 points per game as a freshman and 10.9 points as a sophomore. In his second season, he was named to the All-Colonial Athletic Association third team. Larrañaga accepted the head coaching job at the University of Miami after the 2010–11 season, taking his entire coaching staff with him and leading Hancock to transfer. Hancock transferred to the University of Louisville, which had hired his former Hargrave coach Kevin Keatts as an assistant, and did not play in 2011–12 after transferring. Hancock was named the captain of the Louisville Cardinals men's basketball team before appearing in a game for the Cardinals. Hancock averaged 7.7 points per game playing for Louisville in 2012–13. In the 2013 NCAA Men's Division I Basketball Tournament, he was named the tournament's Most Outstanding Player. He scored 20 points in the national semifinals against the Wichita State Shockers. In the title game against the Michigan Wolverines, the Cardinals trailed by 12 points late in the first half before Hancock scored 14 straight points for the team to cut the deficit to one by halftime. He finished the game five-for-five on three-point shooting, and Louisville won, 82–76. He became the first reserve player in tournament history to be named the MOP.
Professional career
After going undrafted in the 2014 NBA draft, Hancock joined the Orlando Magic for the Orlando Summer League and the Houston Rockets for the Las Vegas Summer League. On September 25, 2014, he signed with the Memphis Grizzlies. However, he was later waived by the Grizzlies on October 13, 2014. On November 4, 2014, Hancock signed with Panionios of the Greek Basket League. He played in six games before tearing a muscle in his calf. The injury made him realize he needed to prepare for life after basketball, so he retired from the sport, studied to become a financial adviser, and eventually began working in Louisville, Kentucky for Lamkin Wealth Management.
After basketball
Hancock has continued his community involvement in Louisville, most notably with the nonprofit group Families for Effective Autism Treatment of Louisville. He first became involved with the organization in 2014 while still attending Louisville. After returning from his brief professional career in Greece, he started organizing basketball camps for children on the autism spectrum, which he has continued to do ever since., Hancock serves on FEAT's board of directors. Hancock married the former Kaelyn Gault in October, 2019.