Show Work Please Among the 300 employees of a company 240 ar

Show Work Please

Among the 300 employees of a company, 240 are union members, whereas the others are not. If six of the employees are chosen by lot to serve on a committee that administers the pension fund, find the probability that four of the six will be union members.

Solution

Note that the probability of x successes out of n trials is          
          
P(x) = C(N-K, n-x) C(K, x) / C(N, n)          
          
where          
N = population size =    300      
K = number of successes in the population =    240      
n = sample size =    6      
x = number of successes in the sample =    4      
          
Thus,          
          
P(   4   ) =    0.247827835 [ANSWER]