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?