Flexible learning 9: Probabilistic Reasoning A. Ajar contains two green marbles, three blue marbles and four red marbles. Kim draws one marble from the jar, and then Tom draws a marble from those remaining. What is the probability that Kim will draw a red marble and Tom a blue marble? Explain your reasoning. B. A mathematics class has 13 boys and 16 girls in it. Each pupil's name is written on a piece of paper. All the names are put in a hat. The teacher picks out one name without looking. Is it more likely that the name is a boy, the name is a girl, or are both a girl and a boy equally likely? Explain your reasoning. C. Ruth says that choosing consecutive numbers like 1, 2, 3, 4, 5, 6 increases your chances of winning Tatts lotto. But Jenny says that there is a larger chance of getting a random set of numbers. She used a random number wheel to choose the following six numbers: 7, 35, 16, 41, 11. Which set of numbers would you choose? Explain your reasoning. D. What does odds at 7:2 mean in this headline North at 7.2 about the North against South football match? _ , ' Give as much detail as you can. But we can still wm match, says coach