STAT1602-A labor dispute has arisen concerning the alleged

A labor dispute has arisen concerning the alleged unequal distribution of 20 laborers to four different construction jobs. The first job (considered to be abominable employment) required 6 laborers; the second, third, and fourth utilized 4, 5, and 5 respectively. The dispute arose over an alleged random distribution of the laborers to the jobs which placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. This is, determine the number of ways the 20 laborers can be divided into groups of the appropriate size to fill all the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs. Do you think the assignment is made at random or not? Why or why not?