Please help with all incorrect parts. Thank you so much!

Q 1. parts a, b, d

Suppose that you have 7 cards. 3 are green and 4 are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. . Gl = first card is green . 62 = second card is green El Part (3) Draw a tree diagram of the situation. (Enter your answers as fractions.) 4/7 X 3/7 4/7 x 2/6 3/6 x 4/6 x CY. 2/42 1/1 Part (b) Enter the probability as a fraction. P(G1 AND G2) = 3/14 X Part (c) Enter the probability as a fraction. P(at least one green) = 5/7 Part (d) Enter the probability as a fraction. P(G2 | G 1) = 1/2 1x Part (e) Are G2 and G1 independent events? Explain why or why not. O G1 and G2 are independent events because the probability of choosing a green card does not change after choosing the first card. O 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 probability of choosing another green card has changed. O G1 and G2 are independent because the chance of choosing a green card second depends on the color of the card chosen as the first card. Correct! The chances of choosing a second green card are affected because the first card was not replaced.A box of cookies contains 2 chocolate and 8 butter cookies. Miguel randomly selects a cookie and eats it. Then he randomly selects another cookie and eats it. (How many cookies did he take?) El Part (3) Draw the tree that represents the possibilities for the cookie selections. Write the probabilities along each branch of the tree. (Let B be the event that he selected a butter cookie, and let C be the event that he selected a chocolate cookie. Enter your probabilities as fractions.) ' WebAssign Plot Part (b) Are the probabilities for the flavor of the second cookie that Miguel selects independent of his first selection? Explain. The probabilities for the second cookie selection are dependent on the first selection. The probability of selecting a chocolate cookie second is the same as selecting a butter cookie. The probabilities for the second cookie selection are independent of the first selection. The cookies are replaced after selecting them. The probabilities for the second cookie selection are dependent on the first selection. The probability of a chocolate cookie being selected second is dependent on whether a chocolate or butter cookie was selected first. The probabilities for the second cookie selection are independent of the first selection. The cookie that was selected first has no impact on the probability of selecting a particular cookie type on the second selection. Correct! These two events are dependent because the selections are done without replacement. Part (c) For each complete path through the tree, write the event it represents and find the probabilities. (Enter your probabilities as fractions.) P(BB) = 28/45 P(BC) = 8/45 P(CB) = 8/45 P(CC) = 1/45 Part (d) Let S be the event that both cookies selected were the same flavor. Find P(S). (Enter your probability as a fraction.) 29/45Let T be the event that both cookies selected were different avors. Find P(T) by two different methods: by using the complement rule and by using the branches of the tree. Your answers should be the same with both methods. (Enter your probability as a fraction.) 1/5 x Let U be the event that the second cookie selected is a butter cookie. Find P(U). (Enter your probability as a fraction.)