Offutt was 6 of 9 from the field, including 3 of 5 from 3-point range, for the Bobcats (16-6, 7-1 Mid-American), who never trailed, led 34-14 at halftime and stretched their advantage to as many as 29 points in the second half.
Jauwan Scaife scored 18 points for the Cardinals (8-13, 2-7), but no other Ball State player had more than six points. Majok Majok, the MAC's rebounding leader at 10.4 per game entering play, had nine rebounds but scored just four points. The Cardinals shot just 26.5 percent from the field and now has lost three straight and seven of eight.
The victory was just Ohio's sixth in 24 games against Ball State in Muncie.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.