It's not random. If e.p. didn't exist, then as soon as someone got a pawn to the fifth rank, a person could move their neighboring pawn forward two spaces and lock up the position. Example: you play a2-a4, then a5 and your opponent plays b7-b5. Now you can't capture that pawn and the position remains closed. Without e.p. many more games would feature impenetrable pawn walls all over the board and more games would end in draws because people would have to just shuffle pieces back and forth on their side of the "wall". e.p. allows more captures and more open lines and thus more active play
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(I accidentally posted this in chess openings, and don't know how to move it)