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Year 9 Probability Application Task Name: Jovan arla HG: Score : 22 /48 46 * 2 periods. Notes and calculator allowed. At Ballpen High School 250 students finished year 12 in 2016. Kellie, a mathematician, studies the career paths of these students in the first 5 years after they leave school. Question 1 (8 marks) The Venn diagram below represents the number of students who enrolled in a Science degree (S), an Arts degree (A or neither. 3 16e 10 160 a) Represent this information in a two way table 2 marks S S' Total A 10 50 60 A' 30 160 190 Total 210 250 b) How many students do neither a Science degree or Arts degree? 1 mark 160 C What is the probability that a students does an Arts degree? 1 mark = 6 / 25 250 25 NI - d) What is the probability that a student does both an Arts and a Science degree? 1 mark 1/ 25 O e) What is the probability that a student does not do a Science degree? 1 mark 21 / 25 f) What is the probability of a student only doing a Science degree? 1 mark 3/ 25 g) If it is known that a student does a science degree, what is the probability that they do an arts degree? 1 / 25 4 X 1 mark 19