A box contains 1000 balls, of which 2 are black and the rest are white.
a) which of the following is most likely to occur in 1000 draws with replacement from the box?
-fewer than 2 black balls
-exactly 2 black balls
-more than 2 black balls
b) if two series of 1000 draws are made at random from this box, what, approximately, is the chance that they produce the same number of black balls?