The Law of Truly Large Numbers

The Law of Truly Large Numbers
With a large enough sample, any outrageous thing is likely to happen. The point is that truly rare events, say events that occur only once in a million [as the mathematician Littlewood (1953) required for an event to be surprising] are bound to be plentiful in a population of 250 million people. If a coincidence occurs to one person in a million each day, then we expect 250 occurrences a day and close to 100,000 such occurrences a year.

Going from a year to a lifetime and from the population of the United States to that of the world (5 billion at this writing), we can be absolutely sure that we will see incredibly remarkable events. When such events occur, they are often noted and recorded. If they happen to us or someone we know, it is hard to escape that spooky feeling.

http://www.wired.com/wiredscience/2012/05/methods-for-studying-coincidences/


10 March 2012

Power and Speed benchmarks by position, 2011

TAMPA, FL - FEBRUARY 26:  Shortstop Eduardo Nu...Image by Getty Images via @daylifeST. PETERSBURG, FL - APRIL 15:  Designated hit...Image by Getty Images via @daylifeST. PETERSBURG, FL - JULY 3:  Designated hitte...Image by Getty Images via @daylifeMINNEAPOLIS, MN - APRIL 10: Designated hitter ...Image by Getty Images via @daylifeST. PETERSBURG, FL - APRIL 02:  Designated hit...Image by Getty Images via @daylifeMelrose Incarnation Baseball - 060708 - 058-4x8Melrose Incarnation Baseball - 060708 - 058-4x8 (Photo credit: Paul-W)Melrose Incarnation Baseball - 060708 - 039-5x7Melrose Incarnation Baseball - 060708 - 039-5x7 (Photo credit: Paul-W)Safe at FirstSafe at First (Photo credit: Vironevaeh)SMMAAAAASHHH BALLSMMAAAAASHHH BALL (Photo credit: misternaxal)Los Angeles Angels second baseman Howard Kendr...Los Angeles Angels second baseman Howard Kendrick (47) and Baltimore Orioles third baseman Josh Bell (50) (Photo credit: Keith Allison)CHICAGO - FEBRUARY 12:  Former Chicago White S...Image by Getty Images via @daylifeEnglish: Line art drawing of a baseball field....Image via WikipediaWhile we get past the pictures on your left, take a look at these rules that apply only to Auctions from Draft day: The TMR's 10 Rules of Drafting and more:

  • OK, it's game day, baby. Time for the big show. Don't bother cramming on the way in or anything stupid like that. It's like a test. You know it or you don't. You're pregnant or you're not. You want to project an air of confidence -- even if you don't feel it. Make others sweat, be it in person or through chatter in your draft engine. That's my first draft day hint.
  • Never show fear. Just be confident. You don't have to be cocky or a jerk. But occasionally sighing a breath of relief when the owner before you picks as if to say, "Glad you didn't grab the correct guy," will do wonders to rattle your weaker-willed leaguemates.
  • In auctions, throw out a young, hyped player early. Reliable performers like Roy Halladay will be thrown out soon enough. But the first guy I'm throwing out this year is Brett Lawrie. Everyone loves him this year. And he'll go for at least $5 more than he should because he's sexy and everyone has money at that point. That extra $5 off the table will be helpful much later in the auction.
  • If you find yourself getting run out of a position, don't panic! Say you've got Pick 11 in a 12-team league and find yourself on the short end of a second-base run. Instead of reaching for a guy such as Daniel Murphy just to have someone, grab another closer, even if you already have two. Or a second decent shortstop. Give yourself something to trade for what you need.
  • Don't listen to anyone else during the draft! (Basically, don't fall for No. 1.) As I mentioned in my theory section, nobody knows anything! And that includes me and any other fantasy baseball analyst. Yes, we analysts probably spend a lot more time looking at stats, trends, players and teams and the like than you do, but that's because you have a life. And we've probably been playing a bit longer. So we probably have a more informed opinion. But that's all it is. An opinion. An educated guess. Emphasis on the word "guess."
  • For those in auction leagues, especially keepers, consider bringing last season's rosters with you. Say someone throws out Evan Longoria. You look at last year's rosters and see one person had him at $36. It's likely that the owner who had him last year will go up to $36 to get him back. How many times have you said to yourself, "Aw, hell, I'll throw him back, see if I can get him cheaper. If not, I can still pay $36 to get him back." 
  • For the players you do get, write down the name of the last person who bid on him or the ones who complained that you snatched him up right out of their draft queue. That will come in handy later when you're looking for trade partners.
  • The later the draft or auction goes -- and it will go long -- the more people get antsy and stop paying attention. This is when you need to be your sharpest. This is when the cheap guys come in. This is when you got that $1 Jordan Walden last year. This is when you win or lose your league. Not by paying $40 for Prince Fielder.
  • Speaking of the end game, this is where you need to swing for the fences. A guy like Mark Buehrle will always be there -- someone "safe" who you know exactly what he will bring -- you can always grab him or someone similar if need be. But the end game is where you swing for the fences and hope to hit on one or two breakouts. Too many people go "safe" in the late rounds.
  • The Not-So-Super-Secret Final Ingredient For Success: Time. Like anything else, the more time you put in, the better your chances at success. With jobs or school and kids and significant others ... time is hard to come by. And a lot of what we do here is take the time to research and think and then summarize all of that in articles or rankings or podcasts ... because you don't have the time. But there is no substitute for putting the work in. Make the time for the leagues you've joined, and only join the number of leagues you have the time for.
And you think I'm wordy. Try > 2,703 words after the lead in. Click here for the rest of Matthew Berry's Updated Fantasy Manifesto. Guranteed to make you think while you're being entertained.













Power and Speed benchmarks by position, 2011

PositionHit 20-plus HRStole 20-plus bases
Catcher50
First base160
Second base85
Third Base73
Shortstop413
Outfield3434
Designated Hitter10


{Courtesy of Matthew Berry and ESPN}
 
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