In box number 1, there are 4 blue marbles and 2 purple marbles. In box number 2, there are 3 blue marbles and 4 purple marbles. Suppose you draw a marble at random from box number 1 and place it in box number 2; then draw a marble at random from box number 2. (a) Draw a tree diagram for this experiment.

(b) Given that the first marble drawn was blue, what is the probability that the second marble drawn
is also blue?

(c) What is the probability that the second marble drawn will be a purple marble?