Odds?
In real life, there have been 218,400 MLB games played (covering 150 years).
So I guess the odds are between 0.00000458 (once in 218,400 games) and infinity (zero times in 218,400 games).

The SOM game is actually way further out on the tail - this is no 18th century game where no one wore gloves. This is basically an all-star game with TWO unrealistic lineups of superstars.