Question: 1- Three boxes containing red, white and blue balls are used in an experiment. Box 1 contains three red, three white and two blue balls. Box 2 contains one red, one white and one blue ball. Box three contains three red, one white and five blue balls. The experiment consists of drawing a ball at random from box 1 and replacing it in box 2, then drawing a ball at random from box 2 and replacing it in box 3.

a. Draw the probability distribution of the number of red, white and blue balls in box 3.

b. What is the probability of the drawn red, white and blue balls in box 3?

c. Given at the end of the experiment, there were six blue balls in 3, what is the probability that a white ball is drawn from box 1.