Suppose that you have 9 cards. 4 are green and 5 are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, with replacement. Part (a) G₁ = first card is green = second card is green Draw a tree diagram of the situation. (Enter your answers as fractions.) G Y, 5/9 GG GY, 20/81 YG YY Part (b) Enter the probability as a fraction. P(G₁ AND G₂) = □ Part (c) Enter the probability as a fraction. P(at least one green) = Part (d) Enter the probability as a fraction. P(G₂ | G₁)= □ Part (e) Are G2 and G₁ independent events? Explain why or why not. OG₁ and G₂ are independent events because the probability of choosing a green card each time is the same. G₁ and G₂ are not independent because they are the same color card. O G₁ and G2 are not independent because after choosing the first green card, the second green card has less chance of being picked. O G₁ and G2 are independent events because choosing a green card and replacing it does not affect the chances of choosing a second green card.