Balls in boxes

A box contains 1000 bulbs, of which 2 are black and the rest are white.

  1. Which of the following is mostlikely to occur in 1000 draws with replacement from the box ? Fewer than 2 black balls, Exactly two black balls, more than two black balls.
  2. If two series of 1000 draws are made at random from the box, what is, approximately, is the chance that they produce the same number of black balls ?

 

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