Drawing cards from 100 black and 100 white cards, what is the chance one is black and one is white? So, Given 200 cards, from which 100 are black and 100 are white, I'm trying to figure out what is the probability that I draw 2 cards, st exactly one is black and 1 is white.
so $P(A)=\frac{\binom{100}{1}\binom{100}{1}}{\binom{200}{2}}$
Is this correct?
If so, what is the probabilty that for TWO different draws, I get exactly 1 white and 1 black cards?

Yes, correct.
The second answer is the following
$\frac{\binom{100}{1}\binom{100}{1}}{ \binom{200}{2}} \cdot \frac{\binom{99}{1}\binom{99}{1}}{ \binom{198}{2}} $
