As America’s unofficial national pastime, baseball has traditionally steered clear of sex, America’s real pastime.

Even if Babe Ruth and Mickey Mantle scored both on and off the field, the game long had a G-rated quality. Baseball’s virginity lasted until March 4, 1973 at 10 a.m. That’s when Mike Kekich announced his “wife swap” with another Yankee pitcher, Fritz Peterson. Baseball—and America—have yet to recover.

Peterson followed with a press conference at 4. They were switching it all—houses, wives, kids, dogs. “I have nothing to hide,” Peterson said, insisting “It’s not a smutty thing”—when everybody thought it was....

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