The commonly used idiom "luck of the draw" refers to the result of something occurring through completely random circumstances and could apply to a situation in either someone's good luck or misfortune/bad luck. It was originally derived from playing-card games sometime in the 18th-century but now refers to any random event.

Examples:

It was by the luck of the draw I got a corner office.

United are getting the luck of the drawx

As always, jury duty, is the luck of the draw.

It depends on luck of the draw.

You can't choose who you play against - it's just the luck of the draw.