Consider a baseball field with prescribed irregular outfield and fence configuration.
Suppose a player can hit a home run which just clears the fence at one given point if the ball leaving the bat (2 feet off the ground) has initial velocity v0 and launch angle at 45 degrees. Assume no wind resistance.
Redesign the fences so that this player (and hence any player) has the same chance of hitting a home run to anywhere in the outfield (i.e. in the outfield and fair!)