Respuesta :
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
The probability is the ratio of the favorable event to the total number of events. The probabilities are as follows;
a. P = ¹⁰⁰C₁₀₀ × ¹¹⁰⁰C₈₀₀ / ¹²⁰⁰C₉₀₀
b. P = ¹⁰⁰C₁ × ¹¹⁹⁹C₈₉₉ / ¹²⁰⁰C₉₀₀
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
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 100 managers, 300 factory workers, and 900 miscellaneous staff.
We can use combination since order does not matter;
a) The probability of all the managers will be offered the opportunity will be
[tex]P = \dfrac{^{100}C_{100} * ^{1100}C_{800}}{^{1200}C_{900}}\\[/tex]
b) The probability of you will be offered the opportunity will be
[tex]P = \dfrac{^{100}C_{1} * ^{1199}C_{899}}{^{1200}C_{900}}\\[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
