Question: There are boxes.
Box 1 contains 2red balls and 3 black balls.
Box 2 contains 8 red balls and 12 black balls.
One of the two boxes is picked at random, and then a ball is nicked at random from the box.
a) Is the color of the ball independent of which box is chosen?
b) What if there were 10 black balls rather than 12 in Box 2 but the other numbers were the same?