Your company is considering offering 900 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 100 managers, 500 factory workers, and 600 miscellaneous staff, find the following probabilities, leaving the answers as formulas. (a) All the managers will be offered the opportunity. C , C , (b) You will be offered the opportunity. C , C , g