Has an Olympic Basketball (Men) game ever ended 96-87?
Exactly once. On August 11, 2016, Spain beat Nigeria 96-87, and no Olympic Basketball (Men) game before or since has ended that way. When it happened it was a scorigami, the first 96-87 in league history.
That makes 96-87 the 126th most common final score out of 698 that have ever occurred in Olympic Basketball (Men). One point away, 97-87 has happened never and 96-88 has happened 1 times.