Marcus Posley added 12 points off the bench for the Cardinals (4-4), and Chris Bond had 11 points and 11 rebounds. Majok, a junior-college transfer coming off a career-high 17 rebounds in Wednesday's win over Holy Cross, grabbed 16 boards and added nine points.
Steve Tecker had 15 points and Trevor Gruis 14 for the Coyotes (4-6), who tied the back-and-forth game at 39 on Brandon Bos' 3-pointer with 12 minutes to play. But a 15-5 Ball State run, capped by Scaife's 3-pointer with 5:53 left, put the Cardinals up 54-44. South Dakota later pulled within 54-51 but didn't score again.
Ball State shot 43 percent from the field, but that was better than South Dakota's 34 percent -- including 4 of 25 on 3-pointers.
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.