Use the following information to answer the next four exercises. 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, without replacement. G = first card is green G2 = second card is green Are G2 and G1 independent events? Explain why or why not. Yes, since the cards are not replaced once chosen, selecting a green card first has no affect on selecting a green card second. No, since the cards are not replaced once selected, selecting a green card first affects the probability of selecting a green card second. Use the following information from Question 13. 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, without replacement. G = first card is green G2 = second card is green Find P(G1 AND G2). Round answers to four decimal places, if necessary. Use the following information from Question 13. 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, without replacement. G = first card is green G2 = second card is green Find P(at least one green). Round answers to four decimal places. Hint: Use the complement rule P(A)+P(A)=1. The complement of "at least one green" is "no green" or "both cards are yellow." Use the following scenario for the next four problems. Suppose that you have eight cards. Five are green and three are yellow. The five green cards are numbered 1, 2, 3, 4, and 5. The three yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card. The sample space is S = {Green1, Green2, Green3, Green4, Green5, Yellow1, Yellow2, Yellow3} G = card drawn is green E = card drawn is even-numbered P(G or E) = Round answer to four decimal places, if necessary. 0.875