Your company is considering offering 500 employees the oppor

Your company is considering offering 500 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, 400 factory workers, and 500 miscellaneous staff, find the following probabilities, leaving the answers as formulas. put in (___,___) format

(a) All the managers will be offered the opportunity.

C(___,___)

C(___,___)

(b) you will be offered the opportunity

C(___,___)

C(___,___)

Solution

a) probability of all mangers will be offered the opportunity,

P = ⁹⁰⁰C₄₀₀/¹⁰⁰⁰C₅₀₀

b) probability that i will be offered the opportunity,

P = ⁹⁹⁹C₄₉₉/¹⁰⁰⁰C₅₀₀