Your company is considering offering 600 employees the opportunity to transfer t

Question

Your company is considering offering 600 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 200 managers, 300 factory workers, and 900 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(___,___)

Explanation / Answer

Ans:

total number of combinations = C(1400, 600)

Given that 200 places have gone to managers, number of ways of selecting the remaining 400 places from the remaining 1200 staff: C(1200, 400)

(a) C(1200,400) / C(1400,600)

(b) 600/1400 = 6/14

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