Selden first attended John D. O'Bryant as a freshman before transferring to Tilton School. There, he averaged 24.8 points, 10.1 rebounds and four assists during his senior year, earning McDonald's All-America accolades. He was the East team’s second-leading scorer in the McDonald’s All-American game, going 5-for-7 from the field, 2-for-4 from three-point range, for 13 points with five rebounds and three assists and played in the Jordan Brand Classic game. When he graduated, he was considered a five-star player and was ranked No. 14 on the ESPN 100 and No. 12 by Rivals.com.

Selden played three years of college basketball for the Kansas Jayhawks. As a junior in 2015–16, he earned second-team All-Big 12 honors and was named to the 35-man midseason watchlist for the Naismith Trophy. He appeared in 38 games (37 starts) for the Jayhawks during his junior season and averaged 13.8 points, 3.4 rebounds and 2.6 assists in 29.9 minutes while shooting 47.4 percent from the field, 39.2 percent from three-point range and 61.2 percent from the free throw line.

On March 29, 2016, Selden declared for the NBA draft, forgoing his final year of college eligibility.

After going undrafted in the 2016 NBA draft, Selden signed with the Memphis Grizzlies on August 8, 2016. He was waived by the Grizzlies on October 22, 2016 after appearing in five preseason games. Seven days later, he was acquired by the Iowa Energy of the NBA Development League as an affiliate of the Grizzlies. In 35 games for Iowa, he averaged 18.5 points, 4.8 rebounds and 2.9 assists in 30.6 minutes.

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