A, B and C are candidates for the post of the general manager. The managing director will recommend a candidate and the recommendation must be ratied by the board of directors. The probability that the managing director recommends candidate A. is one, with 25% for B and 15% for C. The probability that the board raties candidate A. is 43%, 35% for B and 25% for C. [a]: Draw a tree diagram to show the possible outcomes together with the stated probability values. [4 martrs] {b} Find the probability that none ofthe candidates are appointed. [4 martrs] {c} Find the probability that B is appointed given that the board has ratied the managing director's recommendation. [4 marks]