Has an Olympic Basketball (Men) game ever ended 71-70?
Exactly once. On January 1, 1964, Mexico beat Poland 71-70, and no Olympic Basketball (Men) game before or since has ended that way. When it happened it was a scorigami, the first 71-70 in league history.
That makes 71-70 the 126th most common final score out of 698 that have ever occurred in Olympic Basketball (Men). One point away, 72-70 has happened 2 times and 71-71 has happened never.