Below are three boxes containing black and white balls. The number of each color is noted inside the box. Draw a ball from box 1 and place it in box 2. Then draw a ball from box 2 and place it in box 3. Finally draw a ball from box 3. Box 1
3 white 2 black
Box 2
2 white 2 black
Box 3
1 white 2 black
a) What is the probability that the last ball, drawn from box 3, is white?
b) What is the probability that the last ball drawn is black?