4 2 The probabilities of X, Y and Z becoming managers are and respectively. The 9. 3 probability that the Bonus Scheme will be introduced if X, Y and Z becomes manger are 4 10 2 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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