SOLUTION: A labor dispute has arisen concerning the alleged unequal distribution of 25 laborers to five different construction jobs. The first job (considered to be the most abominable emplo

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Question 616877: A labor dispute has arisen concerning the alleged unequal distribution of 25 laborers to five different construction jobs. The first job (considered to be the most abominable employment) required 7 laborers; the second, third, fourth and fifth utilized 4, 6, 5 and 3 respectively. The dispute arose over an alleged random distribution of the laborers to the jobs which placed all 5 members of a particular ethnic group on job 1. In considering whether the assignment is represented injustice a mediation panel desired the probability of the observed event.
(i) Determine the number of sample points in the sample space S for this experiment.
(ii) Find the probability of the observed event if it is assumed that the laborers are randomly assigned to the jobs.

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