Box 1- 4 white balls and 1 black
Box 2- 2 white balls and 2 black
Box 3- 2 white balls

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. a. What is the probability of the event that the last ball, drawn from box 3, is white? b. What is the probability of the event that the last ball drawn is black?

Question

Box 1- 4 white balls and 1 black 
Box 2- 2 white balls and 2 black 
Box 3- 2 white balls 


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. a. What is the probability of the event that the last ball, drawn from box 3, is white? b. What is the probability of the event that the last ball drawn is black?