Without Lifting A Finger

  [From Wikipedia: http://en.wikipedia.org/wiki/Law_of_large_numbers ]       The illustration above demonstrates the law of large numbers using a particular run of rolls of a single die. As the number of rolls in this run increases, the average of the values of all the results approaches 3.5 [the average value of all faces: (1 + 2 + 3 + 4 + 5 + 6)/6]. Though early on in the run (at left) the mean value may fluctuate wildly, over a large number of rolls (at right) the mean value will move closer and closer to the expected (theoretical) value of 3.5.     

     At this point Gerda's resistance tried to break through. "Are you trying to explain progress to me?" she cried out, doing her best to sound sarcastic.      "But of course," Ulrich came back at her, without breaking stride. "It's called the law of large numbers, a bit nebulously. Meaning that one person may commit suicide for this reason and another for that reason, but when a great number is involved, then the accidental and the personal elements cancel each other out, and what's left . . . but that's just it: what is left? I ask you. Because  you see, what's left is what each one of us as laymen calls, simply, the average, which is a "something," but nobody really knows exactly what . Let me add that efforts have been made to find a logical and formal explanation for this law of large numbers, as an accepted fact, as it were. But there are also those who say that such regularity of phenomena which are not casually related ...