5. Consider the following two boxes: R2 R2 B1 B1 B2 G2 GIGI G3 G3 Table 1: Table for problem 5: Box A, 10 Tickets BI BI B3 B3 R1 R3 GI G3 Table 2: Table for problem 5: Box B. 8 Tickets Each ticket in the two boxes has both a color and a number on it. The key for the color is self-explanatory, namely R = Red, B = Blue, G = Green. Answer the following questions below based on the contents of the boxes. (a) One ticket is drawn from Box A. What is the conditional probability that the ticket is green given that it has a three on it? (b) Two tickets are drawn from Box B without replacement. What is the probability that the first ticket is red and the second ticket is blue? (e) Two tickets are drawn from Box A with replacement. What is the probability that the sum of the numbers on the tickets is 4? (d) One ticket is drawn from Box A and one from Box B what is the conditional probability the number on the ticket from box B is greater than or equal to the number drawn from Box A. given that the ticket drawn from Box A is red? (e) Color and number are independent in Box A. Explain briefly. (f) Color and number are independent in Box B. Explain briefly. (g) The events "drawing a red ticket" and "drawing a ticket with a two on it" from Box B are mutually exclusive. Explain briefly.