(a) (Five + S) games and (sixteen - S) physical activities are proposed by students, for...

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(a) (Five + S) games and (sixteen - S) physical activities are proposed by students, for an event to be held during semester break. If two games and three physical activities are selected at random, calculate the number of selections. [4 marks] (b) The Student Affair Office of the College FM conducted a survey last month to collect the plan of final year students. From the results, (80+S) % students plan to pursue further studies, (72-S) % students plan to find a job and (55+ S/2) % students plan to pursue further studies and find a job. (i) Find the probability that a randomly selected student plans to pursue further studies or plans to find a job. Correct your answer to 3 decimal places. [4 marks] (ii) Find the probability that a randomly selected student plans to pursue further studies and does not plan to find a job. Correct your answer to 3 decimal places. [4 marks] (iii) It is known that a randomly selected student plans to pursue further studies, find the probability that this student plans to find a job. Correct your answer to 4 decimal places. [4 marks] (iv) It is known that a randomly selected student does not plan to find a job, find the probability that this student does not plan to pursue further studies. Correct your answer to 4 decimal places. [4 marks] (a) (Five + S) games and (sixteen - S) physical activities are proposed by students, for an event to be held during semester break. If two games and three physical activities are selected at random, calculate the number of selections. [4 marks] (b) The Student Affair Office of the College FM conducted a survey last month to collect the plan of final year students. From the results, (80+S) % students plan to pursue further studies, (72-S) % students plan to find a job and (55+ S/2) % students plan to pursue further studies and find a job. (i) Find the probability that a randomly selected student plans to pursue further studies or plans to find a job. Correct your answer to 3 decimal places. [4 marks] (ii) Find the probability that a randomly selected student plans to pursue further studies and does not plan to find a job. Correct your answer to 3 decimal places. [4 marks] (iii) It is known that a randomly selected student plans to pursue further studies, find the probability that this student plans to find a job. Correct your answer to 4 decimal places. [4 marks] (iv) It is known that a randomly selected student does not plan to find a job, find the probability that this student does not plan to pursue further studies. Correct your answer to 4 decimal places. [4 marks]