I haven't been able to find any Monte Carlo studies done on Eric Gagne's consecutive saves record... I was only able to find simulations on oft discussed and publicized Joe DiMaggio's hit streak. These analysis indicate it is not extremely unusual that in the history of baseball that a player was able to hit in 56 games consecutively. However, given the high batting averages of the early 1900s late 1800s these studies don't necessarily give a great indicator of how difficult this record will be to break going forward. Dimaggio's record is commonly refered to as one of the "safest" records in the books. Comparing the two accomplishments and their unlikelyhoods is difficult, the modern 1 inning save, the closer role, and the save statistic in general are relatively new to baseball. The closer role as we know it has really only been a fixture in baseball since everyone's favorite manager, Tony LaRussa, popularized the role with the help of Dennis Eckersley in the late 80s. But consider this, I admit, rather parochial comparision. A player that bats .400 during a 57 game stretch (4 AB/game) has a ~.87 or 87% chance of getting a hit in one game (1-(.6^4) .87^57 = .000357 or .0357% chance of hitting in 57 consecutive games These odds compare to a closer who saves .91 or 91% of his saves managing to close 85 consecutive games .91^85 = .000330 or .0330% chance of saves 85 consecutive games Now I don't have any stats for such events, but it doesn't take statistician to tell you the number of times a player bats .400 over 57 games happens A LOT more often than a closer averaging 91% saves closed over an 85 game span. There are only 192 players that have 85 saves in their entire career. Baseball's best closers do not have a save conversion rate of 91% (Rivera .847, Eck .8125, Hoffman .868) Obviously, there just are not many chances for a closer to accomplish such an event, it takes two seasons for 1 closer/team to even log enough games to have a qualifying event. Compare that to the thousands of opportunties major league hitters have to bat .400 over a 57 games span. Now, I realize that I haven't written any mathematical proofs here, but I think that you can see where I'm going with this. The more I think about, research this record, the more I think it is one of the most unbreakable, underrated, and unlikely feats in baseball history. Next to Cy Young's wins record I'm not sure there is another record more unlikely to be broken. Especially considering that the modern day "closer role" has no guarantee of being a mainstay in major league baseball for all of eternity. You never know when the next Tony LaRussa is going to come along and popularize a new and improved way of managing their pitchers to close out games. If I were a betting man, I'd bet everything I have, could beg or borrow for that none of us see this record fall or even approached in our lifetimes.