I'm supposed to prepare a probability distribution for the following question:
Two balls are drawn from a bag which has 4 white balls and 2 black balls.
The number of black balls is being counted.
0 Black: .
1 Black: .
2 Black: .
Are my calculations correct? . Sorry, no . . .
Your use of the "6" indicates that you are drawing all six balls from the bag.
Your use of and repeatedly indicates that
. . you are drawing the six balls with replacement.
I will assume the two balls are drawn without replacement.