Problem 7. (19 pts.) Probability () Before your battle with your rival, you placed a bet that the winner gets to take four of the other's Pokemon. Since you won, she lets you pick four new Pokemon out of a bag. In the bag. she has 4 red Polosballs, 2 blue Polofballs, 3 yellow Pokeballs, and 1 purple Pokeball. (Your solutions may contain expressions of the form P(n, r), C(n,r).) (1) (2 pts. ) What is the probability that when drawing four Pokeballs you get exactly two yellows? ( (312) * ((7,2 ) 4 :21 C ( 10,4 ) (Hi) (6 pts.) What is the probability that you draw three red Poleballs, given that you draw one purple? C ( 1,1) * 6 (42) c ( 1, 1) x ( ( 9 1 ? ) (b) Consider the following conditional probability tree diagram. Pane- . 06 (1) (6 ple.) Fill in the blank branches and the probabilities of the intersections on the right () (5 pen.) What is P(C | A)? You don't need to fully simplify your answer. P (CRA ) . 16 PCA) 8. 16 1,04+. 14