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QUESTION 2 (12 marks) A, B and C are candidates for the post of the general manager. The managing director will recommend candidate and the
QUESTION 2 (12 marks) A, B and C are candidates for the post of the general manager. The managing director will recommend candidate and the recommendation must be ratified by the board of directors. The probability that the managing director recommends candidate A is 60%, with 25% for B and 15% for C. The probability tha the board ratifies candidate A is 40%, 35% for B and 25% for C. (a) Draw a tree diagram to show the possible outcomes together with the stated probability values. [4 marks] (b) Find the probability that none of the candidates are appointed. [4 marks] (c) Find the probability that B is appointed given that the board has ratified the managing director's recommendation. [4 marks]
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