4 2 65. The probabilities of X, Y and Z becoming managers are 9 and respectively. 3 1 The probabilities that the Bonus Scheme will be introduced if X, Y and Z become managers are 10 2 4 and respectively. (i) What is the probability that the Bonus Scheme will be introduced; and (ii) If the Bonus Scheme has been introduced, what is the probability that the manager appointed was X?

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