The Cowboys were fueled by forward Le'Bryan Nash, who finished with a game-high 21 points.
OSU had a stranglehold on the game for most of the way, but the Sooners still had their chances late.
When the Cowboys went a stretch of six possessions with five turnovers, OU could only cut the lead from 14 to 11.
A couple more buckets, and the 5-point deficit the Sooners eventually drew within could have been just a one-possession game.
As it was, they closed to 66-61 with 40 seconds to go but could climb no closer.
The Sooners shot very poorly as a team, managing just 32.4 percent to just 38.6 percent for the home team.
OSU shot 10 more free throws than the Sooners and made 10 more (23-for-30).
That proved to be huge.
So did a poor shooting night by Sooner guards Steven Pledger and Cameron Clark.
The two combined for just 13 points on 5-for-20 shooting.
Meanwhile, Cowboys guard Keiton Page didn't shoot the ball all that well himself, making just 5-of-16, but he still finished with 18 points.
Guard Brian Williams was the third Cowboy who scored in double figures with 13.
Along with Blair, forwards Romero Osby and Andrew Fitzgerald finished in doubles for OU at 18 and 12, respectively.
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