Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager,

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(___,___)

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Khoii Minh 5 months 2021-08-18T07:52:02+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-18T07:53:45+00:00

    Answer:

    Probability of 100 managers being selected= 100C100*1100C800/1200C900

    Probability of selecting just one manager = 1C100*1199C899/1200C900

    Explanation:

    Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900

    To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes

    We use combination since order doesn’t matter:

    Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial

    Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900

    Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900

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