It is the final game of the World Series at Yankee Stadium, and the game is sold out.

Spectators arrive to the stadium holding their tickets, each with a designated row and seat number. 

Before they enter, however, they get an unexpected announcement: All ticketed spectators will be seated at random inside the stadium. 

If the 54,251 spectators are seated randomly in the 54,251 seats in Yankee stadium, how likely is it that none of the spectators find themselves in the seat they originally had a ticket for?