There are three boxes containing black and white balls. Box 1 contain 4 white ball, 2 black ball, Box 2 contain 3 white ball and 2 black and Box 3 contain 1 white ball and 2 black. 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.
What is the probability that the last ball, drawn from box 3 is white?