Is There a "Lucky" Perfect Game?

The old news is that Dallas Braden threw the 19th perfect game in ML history yesterday, utterly blanking the Rays on 109 pitches. It didn't dawn on me till this morning, but this is the 2nd year in a row that the Rays have had a perfect game thrown against them. But that is neither here nor there. With the title of my article, I'm not necessarily suggesting that what Dallas Braden did yesterday was lucky, but in terms of Braden's credentials and history in the league so far, a perfect game for him seemed rather unlikely. With a near 4.50 ERA in 53 ML starts, Braden wasn't even close to a household name and most people probably knew him more for his recent spat with A-Rod. As you look over the list of perfect games in Major League Baseball, it's not a Who's Who of pitchers, but there are certainly a lot of recognizable names on the list including: Randy Johnson, Sandy Koufax, Don Larsen and Cy Young. I guess, in my mind, that's what makes Braden's feat yesterday all the more unlikely. Maybe it's the baseball Gods paying him back for A-Rod's indiscretion. Could it have been luck though? And my question to you remains: is there such a thing as a lucky perfect game?