D Question 4 (10 points): In this problem we will draw balls from a bag containing 3 yellow balls, 4 purple balls all having equal size and shape. We are drawing without replacement. So, we will draw a ball from the bag, note its color, leave it out, then draw another and note its color. its a. Describe a probabilistic situation for the chance process given above. b. Given that we only care about the color of the two balls we have drawn (e.g. PP or YP), draw the condensed probability tree for two pulls without replacement, and compute the probabilities for each individual outcome. c. Are the events A = "pulling a yellow first" and B = "pulling a purple second" independent? Justify your answer by comparing P(B) and P(B given A), and explain. d. Are the events B = "pulling a purple second" and C = "getting at least one yellow" ces mutually exclusive? Justify your answer by writing down each event as a set of outcomes and explaining. e. Compute P(B or C) for the events B and C above in any way that you like. Bonus (2 points): Find P(A given B) for the events A and B above