Question 11 2.5 pts Cancer False Positive C 0.4567 1 Experiment P 0.51 C' 0.5433 0.49 The above tree diagram show the probability of having a cancer and a false positive result. 0.51 is the probability of of a person diagnosed with a cancer, and the real fact is the person does not have it. The probability that a man develops some form of cancer (before the test) in his lifetime is O 0.4567 O 0.5433 OO O 0.49Question 12 7.5 pts Suppose that you have eight cards. Five are green and three are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, with replacement (meaning the card drawn in the first draw will be put back in the card pile for the second draw) Let G1 = first card is green Let G2 = second card is green You need to draw a tree diagram to illustrate the probability of the 1st card is drawn and the probability of the 2nd card is drawn. For example, the probability of the 1st drawn yellow card is 3/8. Find P(GG) -- 1st draw is green and the 2nd [ Choose ] draw is green Find P(at least one green) [ Choose ] Find P(G2|G1) [ Choose ] Are G2 and G1 independent events? [ Choose ]