(b) A bag of marbles contains 3 yellow marbles, 12 blue marbles, and 8 red marbles. Construct a tree diagram that illustrates two consecutive picks without replacement from the bag, Make sure to indicate the probabilities along each branch and the probabilities of all 9 outcomes. (c) 80% of Mr. Newton's students are Seniors. Of all of his students, 24% intend to take the AP Exam in Statistics. If we know that 17% of Mr. Newton's students are Seniors intending to take the AP Exam, construct both a 2-way table and a Venn Diagram below illustrating this situation. S = Senior, T = Taking AP Exam (d) Use the Venn diagram or two say table from part (c) to find the following. i. Find P(S UT) ii. Find P(S n T) 111. Find P(S T) iV. Find P(SS)