Consider two boxes. Box 1 contains 6 blue, 2 green, and 3 red marbles. Box 2 contains 3 blue, 4 green, and 1 red marbles. Draw a marble at random from Box 1 and place it in Box 2 along with 5 more marbles of the same color that was drawn from Box 1. Then, draw a marble at random from Box 2.
a. Make a tree diagram with all the appropriate probabilities for this problem situation.
b. What is the probability that you draw a blue marble from Box 2? (Show all your work to receive credit.)