Okay, I figured out A):
FIRST BALL: So the probability of first drawing a black ball or a white ball is both 5/10.
SECOND BALL: The probability of getting a second ball is 4 out of 9 (because you already took a ball), so for both it's 4/9.
To find the probability, of both, you can multiply 5/10 * 4/9, = 2/9. Which is the answer.
I don't know how to do b) though.